write the statement factor theorem​

Answers

Answer 1

Answer:

According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then, (x-a) is a factor of f(x), if f(a)=0. ... Also, we can say, if (x-a) is a factor of polynomial f(x), then f(a) = 0. This proves the converse of the theorem.


Related Questions

A(-2,3)
Triangle ABC has vertices at A(-2,3), B(-3,6), and
C(2,-1) Is triangle ABC a night triangle? If so, which
angle is the night angle?
O No, the triangle has no right angles.
O Yes, the right angle is angle A
O Yes, the right angle is angle B
O Yes, the right angle is angle C
VA
C (2-1)
B (-3,-6)

Answers

second choice i’m prolly wrong

what is the awnser y= 4x-9

Answers

Answer:

x = y+9/4

Step-by-step explanation:

if you were trying to rearrange to make x the subject. Take minus 9 to another side which will be plus 9, then divide y+9 by 4

factorize the following questions
1. a^8-b^8
2. 32y^4 - 162

Answers

Answer:

1. [tex]2(16 {y}^{4} - 81)[/tex]

2. [tex]2(2y - 3) \times (2y + 3) \times (4 {y}^{2} + 9)[/tex]

Step-by-step explanation:

1. [tex] a^{8} - {b}^{8} [/tex]

➡️ [tex]( {a}^{4} - {b}^{4} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex]( {a}^{2} - {b}^{2} ) \times ( {a}^{2} + {b}^{2} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex](a - b) \times (a + b) \times ( {a}^{2} + {b}^{2} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex]2(16 {y}^{4} - 81)[/tex] ✅

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

2. [tex] 32 {y}^{4} - 162[/tex]

➡️ [tex] 2(16y^{4} - 81)[/tex]

➡️ [tex]2(4 {y}^{2} - 9) \times (4 {y}^{2} + 9)[/tex]

➡️ [tex]2(2y - 3) \times (2y + 3) \times (4 {y}^{2} + 9)[/tex] ✅

answer choices:
A. 98
B. 72
C. 44
D. 42

Answers

Answer:

B

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Bh ( B is the area of the triangular base and h the height )

B = [tex]\frac{1}{2}[/tex] bh

Here b = 8 and h = 6 ( perpendicular legs )

B = [tex]\frac{1}{2}[/tex] × 8 × 6 = 4 × 6 = 24 ft² , then

V = 24 × 3 = 72 ft³ → B

Show work please

[tex] \sqrt{ \frac{45}{5} } [/tex]

Answers

Answer: 3

Step-by-step explanation:

[tex]\sqrt{ \dfrac{45}{5}} =\sqrt{9}=\bold3[/tex]

Answer:

3

Step-by-step explanation:

We don't really need to simplify this, but if you do:

45/5 is the same as 45 ÷ 5 so

45/5 = 9

Now we have to find the square root of 45/5(or 9). The square root of a number(x for example) is the number(y) that multiplied by itself once will equal x or y · y = x.

For this you can use a calculator:

[tex]\sqrt{\frac{45}{5} }[/tex] = 3

or

[tex]\sqrt{9}[/tex] = 3

order of operations. please help!​

Answers

I have no clue it honestly doesn’t make sense to me at all good luck on that hope you do well

what is a number in exponential notation that decreases in value as the exponent increases in value​

Answers

Answer:

Any fraction

Step-by-step explanation:

Example:

(2/3)² = 4/9

2/3 > 4/9

Answer:

Any Fraction

Step-by-step explanation:

Example:

(1/3)² = 1/9

1/3 > 1/9

5x + 2) mize
2.
P has coordinates (2, 4). Q has coordinates (-10, 12). Find the midpoint of PQ.
122

Answers

I believe the midpoint should be (-4, 8)

Amy owes her mother $76. She pays her mother $14 on Sunday and $24 on Monday. Use an expression to describe the situation. How much does Amy still owe her mother?

Answers

Answer:

Amy still owes her mother $38.

Step-by-step explanation:

76 - 14 - 24

76 - 14 = 62

62 - 24 = 38

Is -√15 irrational or rational

Answers

Answer: it is irrational.

Explanation:

Square root that are not perfect square are considered irrational as sqrt(15) isn’t a perfect square thus it’s irrational.

Cuanto da √(1 ÷ 6^2 - 1 ÷ 10^2)

Answers

Answer:

It is 2/15

Step-by-step explanation:

[tex] = \sqrt{ \frac{1}{ {6}^{2} } - \frac{1}{ {10}^{2} } } \\ \\ = \sqrt{ \frac{4}{225} } \\ \\ = \frac{ \sqrt{4} }{ \sqrt{225} } \\ \\ = \frac{2}{15} [/tex]

need some help with 8th grade math

Answers

Answer:

D = (3,3)

E = (-5,0)

F = (-2,2)

Step-by-step explanation:

the y axis is the vertical line of the graph so an example of flipping would be (-3,5) turns to (3,5) changing only the x value same the other way around (5,-9) turns to (-5,9) only the x value changes symbol

Answer:

D1 = (3, 3)     E1 = (-5, 0)      F = (-2, -2)

Step-by-step explanation:

D1 = (3, 3)

E1 = (-5, 0)

F = (-2, -2)

Please help me it's the lateral area of a cone along with the surface area

Answers

Answer:

the lateral area of cone is L=A﹣πr2

the surface area of cone is

[tex]a = \pi \: r \sqrt{h^{2} + r {}^{2} }[/tex]


Change 3224in^2 to cm^3

Answers

Answer:

98

Step-by-step explanation:

show work

Refer to the number line. Find the coordinate of point H that is 1/5 of the distance from C to F.
A B C
DEF
-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7

Answers

Number lines are used to represent numbers on a line at regular intervals. The coordinate of point H is -2.2

From the number line, we have:

[tex]C = -4[/tex]

[tex]F = 5[/tex]

First, we calculate the distance between C and F using absolute functions

[tex]CF = |C - F|[/tex]

[tex]CF = |-4- 5|[/tex]

[tex]CF = |-9|[/tex]

Remove absolute bracket

[tex]CF = 9[/tex]

Point H is [tex]\frac 15[/tex] of the distance so, we have:

[tex]H = \frac 15 CF[/tex]

[tex]H = \frac 15 \times 9[/tex]

[tex]H = 1.8[/tex]

This means that point H is 1.8 from the right of C.

So, the coordinate of H is:

[tex]H = C + 1.8[/tex]

[tex]H = -4 + 1.8[/tex]

[tex]H = -2.2[/tex]

Hence, the coordinate of point H is -2.2

Read more about number lines at:

https://brainly.com/question/3677894

Which of the following describes a correct process for solving the equation 3(x + 6) = 21 and arrives at the correct solution?

A. Divide both sides of the equation by 3, and then subtract 6 from both sides of the equation. The solution is x = 1.

B. Subtract 6 from both sides of the equation, and then divide both sides of the equation by 3. The solution is x = 5.

C. Distribute the 3, subtract 6 from both sides of the equation, and then divide both sides of the equation by 3. The solution is x = 5.

D. Add 6 to both sides of the equation, and then divide both sides of the equation by 3. The solution is x = 9.

Answers

Answer:

A. Divide both sides of the equation by 3, and then subtract 6 from both sides of the equation. The solution is x = 1.

Step-by-step explanation:

3(x + 6) = 21

Divide both sides by 3

(x + 6) = 7

Subtract 6 from each side

x = 7-6

x=1

Answer:

x=1

Step-by-step explanation:

multiply 3 with (x+6) resulting into 3x+18=21

cross-multiply and divide through by 3.

There u go

3 3/4÷3/4
pls I need this for my tuition in 5 min

Answers

Step-by-step explanation:

15/4÷3/4

15/4×4/3 (2 reciprocal of 3 upon 4)

5/1

or 4 1/1 Answer

4,4 will be cancelled 15 will be cancelled by 3


If PQ = 6x - 1 and PR = 15x - 29,
then QR = ?

Answers

Answer; QR = 9x - 28

Explanation:

PR - PQ = QR
15x - 29 - 6x + 1 = QR
9x - 28 = QR

PLEASE HELP WILL MARK BRAINLIEST
Simplify the expression.

12÷2⋅33(3)


3


2


23

29

Answers

Answer:

I can't understand what you wrote but I think it's 594

Step-by-step explanation:

You divide 12 by 2, it is igual to 6.

6 x 33 = 189

189 x 3 = 594

I try to help if it not work :(

A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour?

Answers

Answer: I think its D and A

Step-by-step explanation:

Answer:

im pretty sure its D and also A

Step-by-step explanation:

How do write 5,248,663,711 in words

Answers

Answer:

Five billion, two hundred forty-eight million, six hundred sixty-three thousand, seven hundred eleven.

IF A= { a, b, c d and B={a,b,c,d}
how can I solve this

Answers

Answer:

what we have to prove or equation ?

Solve 3x − x + 2 = 12.

Answers

X=5 is ur answer my guy it’s simple math

2x=12_2 2x=10 x=5 that answer

The size of a population of fish in a pond is modeled by the function P, where P(t) gives the number of fish and t gives the number of years after the first year of introduction of the fish to the pond for 0≤t≤10. The graph of the function P and the line tangent to P at t=4 are shown above. Which of the following gives the best estimate for the instantaneous rate of change of P at t=4 ?

Answers

The slope (m) will be "279.33". A further solution to the question is provided below.

At one moment this same instantaneous modification rate would be the same with the functionality derivative assessed somewhere at the time. In certain other terms, the pitch of such tangent line towards the curvature is somewhere at a level equivalent to that as well.

According to the question,

(x₁, y₁) = (3, 0)(x₂, y₂) = (6, 838)

As we know,

⇒  [tex]Slope (m) = \frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

⇒                  [tex]=\frac{838-0}{6-3}[/tex]

⇒                  [tex]=\frac{838}{3}[/tex]

⇒                  [tex]=279.33[/tex]

Learn more:

https://brainly.com/question/16736357

The instantaneous rate of change is the rate of change at a particular point or instant in the graph. The instantaneous rate of change of P at [tex]t=4[/tex] is 250

I've added as an attachment, the graph that represents the population of the fish.

To determine the instantaneous rate of change at [tex]t=4[/tex], we simply calculate the slope (m) of the tangent line using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Because of the scale of the graph, I will use the following estimated points from the tangent line

[tex](x_1,y_1) = (3,0)[/tex]

[tex](x_2,y_2) = (4,250)[/tex]

So, the slope is:

[tex]m = \frac{250 - 0}{4 - 3}[/tex]

[tex]m = \frac{250}{1}[/tex]

[tex]m = 250[/tex]

Hence, the instantaneous rate of change of P at [tex]t=4[/tex] is 250

Read more about instantaneous rate of change at:

https://brainly.com/question/4746888

A rectangle has perimeter 56 cm and length 21 cm. What is its width?

Answers

answer the answer is 7.

hhhhhhhhhhh

Answer:

width=7 cm

Step-by-step explanation:

perimeter=2(lengths+width)

        56   =2(21+x)

         56  =42+2x

   56-42  =2x

        2x    = 14

            x   =7    

therefore the width=7 cm

hi please help i’ll give brain

Answers

Answer:

The GCF is going to be 7

Step-by-step explanation:

This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 21, 3 × 7 = 21

The prime factorization of 28, 2 × 2 × 7 = 28

The one and THE only common factor is 7, which is going to be the GCF

Amaya wants to jog 8 Miles this week she has jog 2 1/2 miles on Monday and 3 2/5 miles on Wednesday how many miles does amaya still need to jog to meet her goal​

Answers

Answer:

2 1/10 miles.

Step-by-step explanation:

She has already jogged 2 1/2 + 3 2/5 miles.  This is 2 5/10 + 3 4/10 or 5 9/10.  8 miles is also equal to 7 10/10 miles.  So, to find the remaining amount of miles, we can do 7 10/10 - 5 9/10 = 2 1/10.

Amaya still needs 2.1 miles to jog to meet her goal​.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Operators who let do basic mathematical calculations.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that this week she has jog 2 1/2 miles on Monday and 3 2/5 miles on Wednesday

She has already jogged 2 1/2 + 3 2/5 miles.  

⇒ [tex]2\dfrac{1}{2} + 3\dfrac{2}{5} = \dfrac{5}{2} + \dfrac{17}{5}[/tex]

Convert fractions into decimals,

⇒ 2.5+3.4

Apply the arithmetic operation,

⇒ 5.9

So, to find the remaining amount of miles,

⇒ 8 -5.9 = 2.1

Hence, Amaya still needs 2.1 miles to jog to meet her goal​.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

How many significant figures does 4857.169 have?

Answers

Answer:

Significant Figures

   7

   4857.169

Decimals

   3

   4857.169

Scientific Notation

   4.857169 × 103

E-Notation

   4.857169e+3

Words

   four thousand eight hundred fifty-seven point one six nine

Explanation: Mark Brainliest plz

Answer:

plz mark me as a brainliest i really need it

Step-by-step explanation:

4857.169

Sig Figs

7

4857.169

Decimals

3

4857.169

Scientific Notation

4.857169 × 103

E-Notation

4.857169e+3

Words

four thousand eight hundred fifty-seven point one six nine

How would I prove the congruency of these triangles?

Answers

Answer:

SAS

Step-by-step explanation:

line AB = line CD    S = SIDE

AB = CD because the shape is a parallelogram and opposite sides of a parallelogram are equal.

Hence, proved AB = CD

Answer:

Step-by-step explanation:

In ΔADC & ΔABC,

Statement              Reason

AD = BC                 Given

∠DAC ≅ ∠ACB       {AB // BC , AC is transversal, ⇒ alternate interior                                     angles are equal}

AC = CA                   Reflexive property

ΔADC ≅ ΔABC         SAS congruent

AB = CD                 CPCT -> Corresponding Part of Congruent Triangles

what is the constant of the proportionality in the equation y = 7x

Answers

Answer:

7

Step-by-step explanation:

The equation of direction variation is

y = kx where k is the constant of variation

y = 7x  so 7 is the constant of variation

Answer:

7

Step-by-step explanation:

The equation of direction variation:-  

y = kx where k is the constant of variation -> Eq 1  

y = 7x  -> Eq 2

Comparing Eq 1 and Eq 2,

k=7

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