Use the remainder theorem to determine the remainder. Then use the remainder to determine if the binomial is the factor of a polynomial. f(x) = x^3 + x^2 - 66x + 54 is divided by x + 9.
a. Remainder: 0; not a factor
b. Remainder: 0; yes a factor
c. Remainder: 270; not a factor
d. Reaminder:270; yes a factor

Answers

Answer 1

Answer:

b

Step-by-step explanation:

f(x) = x³ + x² - 66x + 54

= (x² - 8x + 6)(x + 9) + 0

=> the answer is b

Answer 2

Answer:

b

Step-by-step explanation:

If (x + h) is a divisor of f(x) then f(- h) = remainder

If f(- h) = 0 then (x + h) is a factor of f(x)

Here divisor is (x + 9) , then

f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54

        = - 729 + 81 + 594 + 54

        = 0

Thus remainder is 0 and (x + 9) is a factor of f(x)


Related Questions

Pleaseeeeeeee helpppp-----------

Answers

Answer:

Step-by-step explanation:

(1). (8,4)

(2). (6,0)

(3). (3,5)

(4). (24,3)

(5). (12,17)

(6). (2,3)

(7). (4,1)

(8). (2,1)

Can you help me with my homework, I don't understand you

Answers

10. -3/4
11. 8/3 or 2 2/3

Answer:

10. y=-3/4 x+ 6

11. y= 8/3 x -16

Step-by-step explanation:

10. 3x+4y=24

4y=-3x+24

[tex]y=\frac{-3}{4}x +6[/tex]

11. 8x=48+3y

8x-48=3y

[tex]y=\frac{8}{3} x-16[/tex]

will give brainly for whoever answers first!!

Answers

Answer:

B

Step-by-step explanation:

hope this helped

-B

what would be the price for a product that started at $27 and get marked up by 30%

Answers

Answer:

$35.10

Step-by-step explanation:

help a girl out due at 11:59 ‍♀️

Answers

Answer:

your answer woulsd be 4/15 or how many times does 4  gois in ta 15

Step-by-step explanation:

PLZZZ HELPPPP

find the coordinates of the vertices after a dilation with a scale of 2, centered at the origin.

Answers

Answer:

Step-by-step explanation:

A(- 3, - 5) -----> A' (- 3 × 2 , - 5 × 2) = (- 6, - 10)

B(- 1, 0) -----> B' (- 1 × 2, 0 × 2) = ( - 2, 0)

C(- 3, 5) -----> C' ( - 3 × 2, 5 × 2 ) = (- 6, 10)

D(- 4, 0) -----> D' ( - 4 × 2, 0) = ( - 8, 0)

Answer:

-6,10

-2,0

-6,-10

-8,0

Step-by-step explanation:

Alexander is a stockbroker he earns 11% commission each week last week he sold $7,200 worth of stocks how much money did he make last week in commission

Answers

Answer:

Last week Alexander earned $792 in commissions.

Step-by-step explanation:

Giving the following information:

Commission= 11%

Sales= $7,200

To calculate the total commission, we need to use the following formula:

Total commission= commission rate*sales

Total commission= 0.11*7,200

Total commission= $792

Last week Alexander earned $792 in commissions.

How long is the radius in Circle A? ____ cm
PLEASE ANSWER ASAP

Answers

Answer:

7.5

Step by step explanation:

As the diameter is 15, you have to divide it by 2, which is 7.5.

A student can type
2
3
of a page in
1
5
hour. How many pages can the student type in an hour?

Answers

10/3 or 3 1/3 pages

Answer:

A student can type 3.33 pages in 1 hour.

Step-by-step explanation:

(Assuming you mean 2/3 of a page and 1/5 of an hour)

To solve this we need to multiply both sides by 5. This is because when you multiply 1/5 by 5 you get 1 hour and what you do to one side you must do to the other.

1/5 * 5 = 1

2/3 * 5 = 3.3333

Rounding to the nearest hundredth:

3.33

A student can type 3.33 pages in 1 hour.

Type the integer that makes the following addition sentence true:
-5+? = -8

Answers

The answer to this question is -3

Answer:

The answer of -5+?=8

Let ? be x

so, A.T.Q

-5+x=8

we take x Right hand side and -5 left hand side with 8

x=8+5

x=13

so, the answer is -5+13=8

Maggie sees that she needs 702 tickets to redeem a toy rabbit. If Maggie only has
216 tickets, how many more tickets will she need?

Answers

Answer:

486 more tickets

Step-by-step explanation:

Hope this helps and I hope you have a great day.

Mwah

Answer:

The answer is 486.

Step-by-step explanation:

You had to subtract to see how many more.

702-216= 486

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
of this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
O 8 cm and 9 cm

Answers

answer :
O 8cm and 9cm

(5^49/5^48)+4^0−(1)^79⋅(−3/−4^9)^0
what is the answer simplified
literally 20 points brainiest
THANK YOU SO MUCH MY WHOLE QUARTER OF THE YEAR DEPENDS ON THIS QUESTION

Answers

Answer:

I believe it is 3.75

Step-by-step explanation:

(5^49/5^48)+4^0−(1)^79⋅(−3/−4^9)^0

5+1−(1)^79⋅(−3/−4^9)^0

5+1−(1)^79

5⋅(−3/−4^9)^0

-3 divided by -4 to the power of 9 to the power of 0=0.75

5 times 0.75=3.75

Hope this is correct! xx

-9=2(18)+9y how do you work it out

Answers

Answer:

y = -5

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

-9 = 2(18) + 9y

Step 2: Solve for y

Multiply:                                   -9 = 36 + 9ySubtract 36 on both sides:     -45 = 9yDivide both sides by 9:           -5 = yRewrite:                                     y = -5

Step 3: Check

Plug in y to verify it's a solution.

Substitute:                    -9 = 2(18) + 9(-5)Multiply:                        -9 = 36 - 45Subtract:                       -9 = -9

The Shortest women living is jyoli ange, born on December 16,1993. She measures 24 inches tall. how many feet tall is she

Answers

Answer:

2 feet

Step-by-step explanation:

one foot is 12 inches

Determine the value of X.

Answers

Answer:

25

Step-by-step explanation:

8x-20=180

8x=200

x=25

Question 2 (1 point)
A video game has three villains who appear on screen at different intervals. One villain appears every 2 seconds, a second villain appears every
19 seconds, and a third villain appears every 10 seconds. How much time passes between the occasions when all three villains appear at the
same time?

Answers

Answer:

3 minutes tens seconds or 190 seconds

Step-by-step explanation:

Find the LCM.

p+q=1 and pq=-20. What are the values of p and q?​

Answers

Answer:

Step-by-step explanation:

5, -4

5-4=1

5(-4)=-20

What did people say specifically when you wore Into The Night by Bath & Body Works and it smelled like men's cologne on you?​

Answers

Answer:

what-

Step-by-step explanation:

???????? Doesn't make sense

Please Answer!!!!
Leo Is Making A cAke for a friends birthday. The recipe tells him to bake the cake at 190* C for 35 minutes. To what temperature in *F should Leo bake the cake.

A. Use the *C formula to solve for F.
C = 5/9(F-32)
B. Use your new formula for *F to find the temperature equal to 190* C

Answers

Answer:

A). F = [tex]\frac{9C}{5}+32[/tex]

B). 374°F

Step-by-step explanation:

A). Formula to convert the temperature from degree centigrade to °F is,

    C = [tex]\frac{5}{9}(F-32)[/tex]

    We have to solve the formula to get the value of F,

    9 × C = [tex]9\times \frac{5}{9}(F-32)[/tex]

    9C = 5(F - 32)

    [tex]\frac{9C}{5}=\frac{5(F-32)}{5}[/tex]

    [tex]\frac{9C}{5}=(F-32)[/tex]

    F = [tex]\frac{9C}{5}+32[/tex]

B). In this part we have to find the value of 190° C in °F.

    From the formula given in part (A),

    F = [tex]\frac{9\times 190}{5}+32[/tex]

       = 374°

    Therefore, 190°C = 374°F

Need Help ASAP I’m having trouble

Answers

Answer:

ok

Step-by-step explanation:

nerd nerd nerd nerd lolololollool

please help me out on this​

Answers

Answer:

4 months and 13 stamps

Step-by-step explanation:

Use a char, add two stamps each month for Joy and subtract 3 for Ronald.

blank 1: 4 months
blank 2: 13 stamps
explanation : for Joy add 2 stamps each month ( 2 times 4 equals 8 stamps) add 8 stamps to original 5 stamps ( 8+5=13)
for Ronald subtract 3 stamps each month (3 times 4 equals 12 stamps) subtract 12 stamps from original 25 stamps ( 25-12=13)
both end up with 13 stamps left over a time period of 4 months.

ANSWER THE QUESTION WITH EXPLAINATION

Answers

Step-by-step explanation:

SSS

PB = QC (Given) (S)

BC (common side) (S)

QB = PC (Since ABC is isosceles triangle and PB = QC) (S)

Topic: congruence and similarity

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

SAS criteria

Step-by-step explanation:

Given is isosceles triangle as AB = AC, it means angles B and C measure same

Triangles PBC and QCB have common side BC, equal sides PB = QC as PB = AB - AP and QC = AC - AQ

So two sides and the angle between are congruent:

BC ≅ BC, PB ≅ QC, ∠PBC ≅ ∠QCBSo ΔPBC≅ΔQCB as per SAS criteria

What is the sales tax on a $14,500 truck if the tax rate is 9%? (not the total cost)

Answers

Answer:

$1,305

Step-by-step explanation:

14500x0.09=1,305

Point Y is between the points X and Z. If XY = 3x – 4, YZ = 2x + 3,
and XZ = 24. What is the numerical length of YZ? Use mathematics
to justify your reasoning.

Answers

Answer: YZ = 13

Point Y is between the points X and Z => XY + YZ = XZ

=> 3x - 4 + 2x + 3 = 24

<=> 5x - 1 = 24

<=> x = (24 + 1) : 5 = 5

with x = 5 => YZ = 2.5 + 3 = 13

Step-by-step explanation:

The length of segment YZ can be found using the segment addition

postulate that specifies the relationship between the segments.

The numerical length of YZ is 13

Reasons:

The given location of point Y = Between points X and Z

Length of XY = 3·x - 4

Length of YZ = 2·x + 3

Length of XZ = 24

Required:

The length of YZ

Solution:

XY + YZ = XZ according to segment addition postulate

Therefore;

3·x - 4 + 2·x + 3 = 24

Which gives;

5·x - 1 = 24

5·x = 24 + 1

[tex]x = \dfrac{24 + 1}{5} = 5[/tex]

x = 5

YZ = 2·x + 3

Therefore;

YZ = 2 × 5 + 3 = 13

The numerical length of YZ is 13

Learn more here:

https://brainly.com/question/4710687

Which statement is NOT true about the diagram below?

Answers

The last statement

AD and DC are equal as shown by the small lines through them
DB is perpendicular and at exactly half way of line AC
Angles CBD and ADB are 92° and 88°
92 + 88 = 180
So the false one must be the last one.

Seven students joined the Math Club.a 7 b –7 c 0 d 14

Answers

Answer:

what is the question?

Step-by-step explanation:

did you copy and paste stuff?

please explain

Answer:

If you said that seven students joined then I'm guessing it would be answer A.

Step-by-step explanation:

Answer A. Says (7) while B. Says, -7. Then C. Says 0 and then D. Says 14.

help pls thanks <334

Answers

Answer:me  me aparece al revés

Step-by-step explanation:

Xd no entiendo =(

Answer:

3x^2

Step-by-step explanation:

1+1+1=3 1+1=2  So the answer is B

Which expressions are equivalent to 12r-5?
A. 6(2r+(-1))+1
B. -4(2+(-3r))+3
C. None of the above

Answers

Answer:

Step-by-step explanation: 12r-6+1= 12r-5

-8+12r+3= 12r-5

A and B

Suppose a radio station desires to estimate the proportion of the market
they hold with a maximum error of 1% and a confidence of 95%. How large
a sample would be required to estimate the % of listeners to within the
desired level of accuracy? Assume that the sample percentage is 11.7%
(taken from a previous study).
Show calculations.

Answers

About 3.4% large according to the coordinates
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