If x+4 Is a Factor Of The Polynomial x³-x²-14x+24 ,Then Find Other Factors.​

Answers

Answer 1

Answer:

(x - 3) and (x - 2)

Step-by-step explanation:

Using the method of long division to divide the polynomial by x + 4

               

                   x² - 5x + 6

                 -------------------------------

x + 4   |  x³ - x² - 14x + 24

             x³ + 4x²

             ---------------------------

                  - 5x² - 14x + 24

                   - 5x² - 20x

              -------------------------------

                               6x + 24

                               6x + 24

                --------------------------------

                              0        0

The quotient is x² - 5x +  6 = (x - 2)(x - 3)

x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form

 

          |


Related Questions

Split 70 into the ratio 3:4? I don't understand ratio :(

Answers

Answer:

30:40

Step-by-step explanation:

Item A:  item B :  total

3                 4        3+4

3                  4          7

The total is 70

70/7 = 10

Multiply each item by 10

Item A:  item B :  total

3*10           4 *10     7*10

30                 40       70

Answer:

30 and 40

Step-by-step explanation:

3 : 4  means 3 out of every 7 objects and 4 out of every 7.

[tex]\frac{3}{7} (70) = 30[/tex]

[tex]\frac{4}7} (70) = 40[/tex]

   

2+2+30+40+15000+18000

Answers

Answer:

33074

Step-by-step explanation:

Please give brainliest

Answer:

[tex]2 + 2 + 30 + 40 + 15000 + 18000 = 33074[/tex]

[tex]i \: hope \: it \: is \: helpfull[/tex]

H=
And the equation

Answers

Answer:

equation: 10.00+2.50h=7.00+4.00h

10+2.5h-4h=7

10-1.5h=7

-1.5h=7-10

1.5h/1.5=-3/1.5

h=2

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

Answer:

115°

Step-by-step explanation:

From E to B is 180°.

So when looking at angle ACB we get 65°

The angle ACE is equal to 180° - °65 = 115°

To show this is correct we have to add ACE and ACB and that should equal 180° which is true.

Answer:

115°

Step-by-step explanation:

normally straight lines are 180°

so angle ACF is already 90°

to find E, we need to subtract the 90°and the 65°

here it is: 180-(90+ 65)

= 25°

so finally ACE = 90° + 25°

= 115°

;)

Two numbers have a sum of 24 and a difference of 5. Use and algebraic method to find the two numbers.

Answers

Step-by-step explanation:

x, y are the 2 numbers

x + y = 24

x - y = 5

x = y + 5

and that in the first equation

y + 5 + y = 24

2y = 19

y = 9.5

x = y + 5 = 9.5 + 5 = 14.5

the 2 numbers are 9.5 and 14.5.

An equation is shown below:

4(x − 3) − 5(x + 1) = 3

Which statement shows a correct next step in solving the equation? (1 point)

Group of answer choices

The equation can become 4x − 12 − 5x − 5 = 3 by applying the associative property of multiplication.

The equation can become 4x − 3 − 5x + 1 = 3 by applying the associative property of multiplication.

The equation can become 4x − 3 − 5x + 1 = 3 by applying the distributive property.

The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.

Answers

Answer:

The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.

Step-by-step explanation:

4(x − 3) − 5(x + 1) = 3

The first thing would be distribute the 4 and the 5 respectively

4x-12 -5x-5 =3

What is the prime factorization of 585?

585=
×
×
×
help pls im not thatgood at math

Answers

Answer:

3^2 * 5 * 13

Step-by-step explanation:

585

= 5 * 117

= 5 * 3 * 39

= 5 * 3 * 3 * 13

= 3^2 * 5 * 13

Answer:

3×3×5×13 that's the answer

how do i do this pls explain the steps

Answers

Answer:

[tex]a^{\frac{15}{2} }[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

([tex]a^{\frac{1}{2} }[/tex] × a)^5

= [tex](a^{\frac{1}{2}+1) }[/tex]^5

= [tex](a^{\frac{3}{2}) } ^{5}[/tex]

= [tex]a^{\frac{15}{2} }[/tex]

Hailey ordered 12 pizzas for a grade level party. If each person eats 3/8 of a pizza equally, how many people can Hailey feed with 12 pizzas?

Answers

Answer:

24

Step-by-step explanation:

what is the product of... see attachment below

Answers

The answer is -7 (option A)

Steps are in the attachment.

_________

Hope it helps ✌

simplify 6(x+3-2) (4-x)

Answers

The answer is -6^2-6x+120

A stone is thrown vertically upwards.its height , y ,meter from the ground after x seconds is given by the formulae x=17y-2y².find the time,in seconds,when the stone is at the height of 8 meter from the ground.​

Answers

Time can't be negative so we need to get absolute value of x .

can you solve the sums

Answers

Solutions:

[tex](a) {11}^{a} = 1331 \\ = > {11}^{a} = {11}^{3} \\ = > a = 3[/tex]

[tex](b) {2}^{b} = \frac{1}{128} \\ = > {2}^{b} = (\frac{1}{2} ) ^{7} \\ = > {2}^{b} = {2}^{ - 7} \\ = > b = - 7[/tex]

[tex](c) {9}^{c} = 243 \\ = > {3}^{2 \times c} = {3}^{5} \\ = > {3}^{2c} = {3}^{5} \\ = > 2c = 5 \\ = > c = \frac{5}{2} \\ = > c = 2.5[/tex]

[tex](d) {10}^{d} = 0.01 \\ = > {10}^{d} = \frac{1}{100} \\ = > {10}^{d} =( \frac{1}{10} ) ^{2} \\ = > {10}^{d} = {10}^{ - 2} \\ = > d = - 2[/tex]

Answers:a = 3b = -7c = 2.5d = -2

Hope it helps.

Do comment if you have any query.

easy one for you folks.​

Answers

Answer:

if its easy do it

Step-by-step explanation:

Answer:

7.5/15 or something because yes

Simplify the expression. Write your answer in exponent form. (6^2*6^9/6^7)^5

Answers

Answer:

6^4

Step-by-step explanation:

6^2*6^9/6^7

6^(2+9)/6^7

6^(11-7)

6^4 or 1296

x:y=2:3 and x+y=10.Find value of x and y​

Answers

Answer:

We know that x is 2

Whilst y is 3

this can be changed due to it’s ratio

So in this code x+y=10

2+3=10

We can do it this way.

2+3=5 (add the ratios)

10/5=2 (Divide the sum by the number needed)

2*2=4 (multiply the quotient for each ratio)

3*2=6 (multiply the quotient for each ratio)

x is 4

y is 6

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day!!

We can solve this problem in two steps, Comprehension and Solving

I'll start off with comprehension.

Comprehension

We know that ratios are basically fractions as they both show comparison, so we can make x:y into [tex]\frac{x}{y}[/tex].

We also have another equation, making this problem a system of equations.

Now that we know what to do, we can begin solving!

Solving

We can solve this by first getting our two equations.

[tex]\frac{x}{y}=\frac{2}{3}[/tex]

We can simplify the 2nd equation so that we know what one variable is.

[tex]x+y=10\\x=10-y[/tex]

We can now input our second equation into the first equation.

[tex]\frac{10-y}{y}=\frac{2}{3}\\3(10-y)=2y\\30-3y=2y\\30=5y\\y=6[/tex]

If y is six, then we can use the second equation to solve for x.

[tex]x+6=10\\x=4[/tex]

We know that x is 4 and y is 6.

We can now check our answers.

1st Equation

[tex]\frac{4}{6}=\frac{2}{3}?\\[/tex]

[tex]\frac{2}{3}=\frac{2}{3}[/tex]

2nd Equation

[tex]4+6=10?\\10=10[/tex]

We've proven our answers to be right, therefore, x is 4 and y is 6.

Find the angles a, b, c and d.

Answers

The angles are…
A=101
B=79
C=83
D=97

What is differentiation ?

Answers

Answer:

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.

the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus


(Sorry if this didn’t help)

Free pointzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

WOWW LOL THNX THO teeeheee

Someone pls help!

Gabby owns 35 chickens and each one produces three eggs per day. How many eggs can she collect each day?

Answers

Answer:

Well 35 chickens. Each produce 3 eggs a day. 35*3= 105

105 eggs per day

Answer:

105 eggs

Step-by-step explanation:

Number of eggs per day = number of chickens x eggs per chicken

35 x 3 = 105

105 eggs

-Chetan K

15 liters increased by 60% is ___ liters

Answers

[tex]15 \times   (1 + .6) = 24 \: \: \: liters[/tex]

it's 24 litters

hope it helps

5. What is the correct word form of 9.602?

A nine and sixty-two hundredths

B nine and six hundred two hundredths

C nine and sixty-two thousandths

D nine and six hundred two thousandths

Answers

Answer:

D is the correct answer

Step-by-step explanation:

your welcome

Answer:

nine and six hundred two thousandthsStep-by-step explanation:

write the following ratios as fractions. 48 shoes 72 boots 64 hours and 2 days 147 rulers to 490 bags​

Answers

Answer:
1. 48/72 or 2/3
2. 64/2 or 32/1
3. 147/490 or 3/10
Explanation:

Razi is filling bags with party favors for his birthday party. The table to the right shows the number of bags he still needs to fill after 4, 5, 6, and 7 minutes. If he is working at a constant rate, what was the initial number of party favor bags Razi had to fill? 36 48 52 56

Answers

Answer:52

Step-by-step explanation:.

By using the concept of the point-slope form of an equation,

The initial number of party favor bags Razi had to fill would be 52.

In this situation, the independent variable (x) is the amount of time in minutes.  

The dependent variable (y) is the number of bags remaining.

Since he is working at a constant rate, this makes it a linear function.  

In a linear function, the amount he had to fill, to begin with, is the y-intercept.  

Since The point-slope form of the equation is,

y - y₁ = m(x - x₁)

First, we find the slope using the formula

m = (y₂-y₁)/(x₂-x₁)

m = (32-36)/(5-4)

m = -4/1

m = -4

Using this and the first point, we have

y - 36 = - 4(x - 4)

Using the distributive property, we have

y - 36 = -4(x)- 4(-4)

y - 36 = -4x--16

y - 36 = -4x + 16

Add 36 to each side:

y - 36 + 36 = -4x + 16 + 36

y = -4x + 52

So, for the initial number of party favor bags Razi had to fill;

Substitute x = 0;

y = - 4 (0)+ 52

y = 52

Hence,

The required initial number is 52.

To learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ7

The missing table in the question is attached below.

sally has 10 cups of oatmeal. she needs 1/4 cup of oatmeal to make 1 batch of cookies. how many batches of cookies can sally make

Answers

40
10/.25 =40 .25 is equal to 1/4 . therefore she can make 40 batches of cookies

I need a helping hand please
Joseph compared the graphs of two functions.

The first function was f(x)=−2x+6.
The second function fits the values in the table:
x 2 5 8 11
y 2 -4 -10 -16
What is the distance between the y-intercepts of the two functions? To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

There is no separation (distance) between the first y-intercept (6) and the second (6).

Step-by-step explanation:

We'll assume that the table shows points on a straight line.

If we go from x = 2 to x = 8 (an increase of 6), the corresponding y values go from y =2 to y = -10 (a decrease of 12).  Thus, the slope of the line represented by the table is

m = rise / run = -12/6, or m = -2.

We need to find the equation of the line represented by the table, so that we can know the y-intercept.  Start with y = mx + b and substitute -2 for m:

y = -2x + b.  We arbitrarily choose an ordered pair from the table, such as (11, -16).  Here we substitute 11 for x and -16 for y:

-16 = -2(11) + b, or

-16 = -22 + b, which yields b = 6.

This is the same y-intercept as the '6' in the given f(x) = -2x + 6.  So:  There is no separation (distance) between the first y-intercept (6) and the second (6).

Use the incomplete reaction to complete the activity. Ba(ClO3)2 → ____ + 3O2 In one or two sentences, identify the type of reaction that is occurring and identify the other product. Based on the subscripts of the elements in the other product and the fact that chlorine has seven valence electrons, determine the number of electrons in barium’s (Ba) outer shell.

Answers

The missing product of the reaction is BaCl2 and we can see that barium has two electrons on its outermost shell.

The complete reaction is  Ba(ClO3)2 → BaCl2 +  3O2. From the reaction equation, we can see that the missing product is BaCl2. The compound is composed of one barium atom and two chlorine atoms.

Since chlorine has seven valence electrons, it means that it requires two electrons from barium to complete its octet in BaCl2. This now means that barium has two electrons in its outermost shell.

Learn more: https://brainly.com/question/2192784

OXIDATION UNIT TEST

1. Which statement best explains why magnesium and chlorine combine in a 1:2 ratio?

A. Magnesium has two valence electrons, and chlorine can accept one electron in its outer shell

2. Hydrogen and nitrogen combine to form ammonia. When nitrogen and hydrogen bond, nitrogen pulls the electrons from hydrogen toward itself. Which statement about the reactants is correct?

C. Hydrogen is oxidized, and nitrogen is reduced.

3. C3H8 + 5O2 → 3CO2 + 4H2O + energy

Which type of reaction is shown?

C. combustion

4. Which phrase best defines a redox reaction?

D. a reaction in which electrons are transferred between different atoms

5. Which statement describes the process of oxidation?

D. Oxidation results in a loss of electrons, so the oxidation number increases.

6. Which chemical equation represents a redox reaction?

D. Fe2O3(s) + 2Al(s) → Al2O3(s) + 2Fe(l)

7. Which statement correctly describes the oxidation number of the manganese atom (Mn) in MnI2 and MnO2?

A. Manganese has an oxidation number of +2 in MnI2 and +4 in MnO2.

8. Br2(l) + 2NaI(aq) → I2(s) + 2NaBr(aq)

Which elements are oxidized and reduced in the reaction?

D. Iodine (I) is oxidized, and bromine (Br) is reduced.

9. Which action occurs at an electrode of a galvanic cell?

D. electron transfer

10. Which statement best compares a battery and a galvanic cell?

A. A battery’s source of power is a galvanic cell in which a redox reaction produces electrical energy.

11. Zn + 2H+ → Zn2+ + H2

2Al + 3Cu2+ → 2Al3+ + 3Cu

Which elements are oxidized?

A. zinc (Zn) and aluminum (Al)

12. 2Cr(s) + 3Cu2+(aq) → 2Cr3+(aq) + 3Cu(s)

Which half reaction occurs at the cathode?

B. 3Cu2+(aq) + 6e– → 3Cu(s)

13. Written

14. Written

15. Written

I hope this helps!

convert

b) 25 m³ to ft³
c) 11 ft² to in²​

Answers

Answer:

conversions are below

Step-by-step explanation:

b) 25 m³ = 882.867 ft³

c) 11 ft² = 1584 in²

x + 12 = 20 i really need help

Answers

Hello! :)

x+12=20

Move all numbers to the right, using the opposite operation:

x=20-12

x=8

Therefore, x=8

Hope it helps. Enjoy your day! :)

Do ask me if you have any question.

~An excited gal

[tex]MagicalNature[/tex] here to help

x + y = 8
Now let x = 7. What is y?​

Answers

Answer:

1 cuz 7+1=8

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x=7

y=1

7+1=8

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