Mathematics High School

which statements are true about the polynomial function?
f(x)=x^3+5x^2+6x

Which Statements Are True About The Polynomial Function? F(x)=x^3+5x^2+6x

Answers

Answer 1
one answer is f(-2)=0
Answer 2

 Statements given in the Options (3) and (4) are the correct.

Polynomial function given in the question is,

f(x) = x³ + 5x² + 6x

Check all the options whether they are true or false.

Option (1)

f(x) = 0 at x = 2,

Substitute the value x = 2 in the polynomial.

f(2) = (2)³ + 5(2)² + 6(2)

     = 8 + 20 + 12

     = 40

False.

Option (2)

(x + 2) is a factor of f(x).

If it's true, f(x) = 0 will be true for x = -2

Substitute x = -2 in the function,

f(-2) = (-2)³ + 5(-2)² + 6(-2)

      = -8 + 20 - 12

      = -20 + 20

      = 0

True.

Option (3)

f(-2) = 0

f(-2) = (-2)³ + 5(-2)² + 6(-2)

      = -8 + 20 - 12

      = 0

True.

Option (4)

f(x) divided by (x - 2) has a remainder of 0.

x - 2)x³ + 5x² + 6x(x² + 7x

       x³ - 2x²

              7x² + 6x

              7x² - 14x

                      20x

Here, remainder is (20x).

False.

   Therefore, Options (3) and (4) are correct.

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Related Questions

I’ve been able to figure out the rest of the questions but this one has me stumped. I need to solve for x. Can someone please write the steps down so I can learn what to do?

Answers

explanation:
x+91 and x+111 are supplementary angles (they add up to 180), so you would set an equation by adding both of them to equal 180:
x + 91 + x + 111 = 180
add like terms
2x + 202 = 180
subtract 202 from both sides
2x = -22
divide both sides by 2 to get the answer:
x = -11

Answer:

X= -11

Step-by-step explanation:

Combine the two equations to equal a supplementary line

(X+91)=(x+111)=180

Solve for x by reversing the equation

(x)+(x)=(180-91)+(-111)

x=-22/2

x=-11

then check it

Simplify the expression
(7v^2 )(10u^3v^5)(8uv^3)

Answers

Answer:

[tex]560v^{10}u^{4}[/tex]

Step-by-step explanation:

Simplify the expression.

What is the result when 6x3 + 19x2 + 2x 12 is divided by 2x + 1? If there is a r(x) remainder, express the result in the form q(x) + b(x):​

Answers

Answer:

sorry for the photo quality and my writing

Solve the equation.
x² - x - 6 = 0

Answers

The answer is
X=-2 or x=3

Answer:

X= 3, -2

Step-by-step explanation:

A gallon of milk for $3.98 OR a half gallon of milk for $1.99

Answers

Answer:

The gallon for 3.98, you get ore for your money

Step-by-step explanation:

Answer:

$3.98

Step-by-step explanation: if you was to get 2 half gallons of milk it would be $4 if you get one Whole gallon its $3.98

PLEASE HURRY IM BEING TIMED
Why is a scatterplot an appropriate display for this data set?A point Q with coordinates (-8, -6) is reflected across the y-axis. What are its new coordinates?


a

(-8, 6)

b

(8, -6)

c

(-8, -6)

d

(-6, -8)

Answers

Answer:

c

Step-by-step explanation:

I guessed to be honest

HELP PLEASE!!!!

Solve for x.

Answers

Answer:

96

Step-by-step explanation:

Multiply both sides of the equation by 8

move the constant to the right

calculate

divide both sides

solution

add 11 to both sides (7/8x=84) then multiply both sides by 8 (7x=672) then divide by 7 from both sides and x=96

what is the answer to this problem 1/3-9=14x-7-13x

Answers

Answer:

(1/3) - 9 + 7 = 14x - 13x

-5/3 = x

Can someone please help me asap I’ll mark brainlist

Answers

Answer:

y = 54.5x

Step-by-step explanation:

i divided y by x and 54.5 was the answer for all of them

the answer is d which is 54.5 because when you divide y by x, you get 54.5 every time
hope this helped !

how would i solve this equation
(2x - 1/2)2

Answers

Answer:

=4x-1

Step-by-step explanation:

that is the answer

Find the circumference of a roll of tape whose diameter is 5 cm.

Answers

Answer:

15.7 cm

Step-by-step explanation:

Circumference= Diameter * Pi

Hence,

Circumference of the circle= 3.14 * 5

=15.7 cm

Answer:

[tex]\huge{\boxed{\sf{15.71 cm}}}[/tex]

Step-by-step explanation:

Given :

diameter ( d ) = 5 cm

radius ( r ) = [tex]\frac{5}{2}[/tex] = 2.5 cm

Finding the circumference of a roll of tape:

Circumference of a circle = 2πr

circumference = [tex]2 * \frac{22}{7} * 2.5[/tex]

circumference = 15.71 cm

Hope I helped!

Best regards :D

~TheAnimeGirl

you purchase 3 t-shirts and a booklet for 90$. the booklet cost 15. how much is each t-shirt? please help ! thank u

Answers

Answer:

each t-shirt was $25

Step-by-step explanation:

90 minus 15 = 75

75 divided by 3 equals 25

Answer:

25

Step-by-step explanation:

3t+15=90

3t=75

t=25

t represents the price for one t-shirt. 90 is the total amount and if the booklet is 15 dollars, altogether they equal 90. With this equation you are trying to isolate the variable (t), so subtract 15 because the opposite of 15 is -15. Then divide that by 3 because 3t is also 3 times t and the opposite of times is division.

Ashley Sigler gave 2/5 of her bonus check of $255 to a missionary family. How much
money did she give to the family?

Answers

Answer:

102

Step-by-step explanation:

i think it is right

The ratio of boys to girls at a movie is 4:7. If there are 21 girls, how many boys are at
the movie?

Answers

12 boys. 7 * 3 is 21. 21 girls. 4*3 is 12. 12 boys 21 girls

counterexamples in math: HELP WITH NUMBER 15,

basically write it in a sentence: "I have observed (a+b)^2 and a^2+a^2 to be false ______________"

Answers

Answer:

(4 + 3)² = 49

4² + 3² = 25

Step-by-step explanation:

Thats a counterexample for this question


Determine if the two triangles are congruent. If they are, state how you
know.
1)
A) Not enough information
B) ASA
C) HL
D) SAS

Answers

Not enough information

Explanation: in order for them to be congruent it must have at least two equal sides or 2 equal angles

0.4x=1
ANSWER ASAP GIVING BRAINLIEST

Answers

x=2.5 would be the answer

Answer:

x=2.5 thas the answer

Step-by-step explanation:

PLZZZ ANSWE PLZZZ HELP
In which of the following pairs of numbers does each member of the pair contain the same number of significant figures?

Group of answer choices

600.0 and 60

0.000066 and 660,000

0.05700 and 0.0570

11.0 and 11.00

Answers

Answer:

azwesxrbhjklpl,komijnuhbvygvtfcrdxsezawqlast one is the answer

Josh practices free throws during basketball practice on Monday and Tuesday. On Monday, he attempts 15 free throws and 6 basketballs went in the basket. Over both days, Josh wants at least 80% of his balls to go in the basket. If he makes every free throw on Tuesday, what is the minimum number of free throws required on Tuesday to reach his goal?

Answers

Answer:

he has to make 12 shots

Step-by-step explanation:

Josh will have to make a minimum of 12 shots to the basket to reach his goal on Tuesday. Basically, 12 shots are 80% of 15 shots he decides to take every Monday and Tuesday.

Baskets are said to be done when the basketball ends up passing through the basket in the opponent's side of the basketball field. However, Josh is practicing his free throws here.

Josh has set a goal to himself that at least 80% of his shots should be basket. Considering that he takes 15 throws on Monday the calculation of baskets will be done as below.

  [tex]\rm Josh's goal= \dfrac{80}{100} x 15[/tex]

So the Josh's required free throws on Tuesday will be,

 [tex]\rm Josh's\ goal = 12[/tex]

It can be concluded that Josh will have to make at least 12 of his 15 free throws into the basket on Tuesday to achieve his set goal of 80%.

Hence, Josh will have to make 12 free throws into the basket on Tuesday to be able to score at least 80% of his free throws as baskets.

To know more about basketball free throws, click the link below.

https://brainly.com/question/3204183

Solve for x and y please ASAP it is urgent, please give a logical explanation, will rate highly and award brainliest.

-7x+5y=-8
9x-8y=15

Answers

Answer is (-1,-3)
Step by step explanation:
Solving for x:
-7x+5y=-8
Multiply both side’s by 8
-56x+40y=-64

9x-8y=15
Multiply both sides by 5
45x-40y=75

Subtract
-56x+40y=-64
45x-40y=75
-11x=11
-11x/-11 = 11/-11
x=1

Substitute -1 for x to get y
-7(-1)+5y=-8
Multiply 7 and -1
7+5y=-8
Then subtract 7 from both sides
5y=-15
Then divide both sides by 5
Y=-3

The sum of the exponents of the variables in the expression 6wxy^3z^2 is
5
6
7
8

Answers

Answer: 7

Step-by-step explanation:

Look at it this way:

6w^1x^1y^3z^2

1+1+3+2=7

The sum of the exponents is 7 because x = x^1 even though you may not realize it.

What is the HCF of 4,8 and 20

Answers

the HCF of 4,8 and 20 is 4

Answer

4 is the answer

Step-by-step explanation:

The HCF of 4,8,20 is 4

what number is greater 3 or 5

Answers

Answer:

5

Step-by-step explanation:

Because 5 is greater than 3 by 2

(5-3=2)

Answer:

5 is greater than 3

Step-by-step explanation:

cause the is the third number

and 5 is the fifth number

basically 5 will get you a greater number than 3

what transformation is represented by the rule (x, y) (-x, -y)

Answers

The transformation which is represented is a 180 degree rotation about the origin

[tex]|b|\ \textless \ 3[/tex]

Answers

{b| -2 < b < 2}

This is because when you plug in values between -2 and 2 the statement is true.

3900 people attended a football game. If 25% of the people who attended were teenagers, how many teenagers attended the game?

Answers

Answer:

975 teenagers attended the football game

Step-by-step explanation:

25 x 3900    = 975

    100

975/3,900 = 25/100 = 25%

select all coordinate pairs that could represent a solution to 3x - 2y = 12

Answers

So you just need to find the pairs that work in when you substitute them in, we can go through them one by one.

When you have

(2,-3) x= 2 and y = -3 so if we put this into the equation you get
(3x2) -(2x-3) which is 6–6 which is 6+6 which is 12, so this coordinate is CORRECT

(4,0)
X= 4, y =0
(3x4) - (3x0) = 12 so is CORRECT

(5,-1)
X= 5 y = -1
(3x5) - (2x-1) = 15- -2 = 15+2 = 17 so is INCORRECT

(0,-6)
X= 0 y= -6
(3x0) - (2x -6) = 0- -12 = 0 + 12 = 12 so is CORRECT

(2,3)
X = 2, y=3
(3x2)- 2x3 = 6-6 = 0 so is INCORRECT

Hope this helps, let me know if you have any questions

8/19 +4/24

I need help

Answers

0.58771929824 round this to whatever your rounding too

Pam and her brother both open savings accounts. Each begin with a balance of zero dollars. For every two dollars that Pam saves in her account, her brother saves five dollars in his account. If Pam has 40 dollars in her account, how much money does her brother have in his account?

Answers

Answer:

the answer is

Step-by-step explanation:

100

Becasue when you do the math of how many two's you used to get to 40 and you do that with the fives that her brother makes it is 100.

The correct answers are C and D, please explain why!!!

Answers

Answer:

To find the volume of a cone you must first find the radius of the circle. When you write the radius of the circle in the formula for the volume of a cone it is always the top part of the fraction.  Hope This Helps Mate!! Have A Wonderful Day!!

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