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The Remainder Factor Theorem and Synthetic Division

Authored by Jeff Da Moude

Mathematics

11th - 12th Grade

CCSS covered

Used 225+ times

The Remainder Factor Theorem and Synthetic Division
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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What is the number that would be placed in the "box" when using synthetic division of  (y3+y210)÷(y+3)\left(y^3+y^2-10\right)\div\left(y+3\right)  ?



3

-3

2

1

Tags

CCSS.HSA.APR.D.6

2.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Media Image

What is the number that would be placed in the "box" when using synthetic division of  (n4n310n2+4n+24)÷(n+2)\left(n^4-n^3-10n^2+4n+24\right)\div\left(n+2\right)  ?





(a)  

Tags

CCSS.HSA.APR.D.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

When setting up this problem using synthetic division, what numbers should fill in the squares?

-1, 3, 15, -19, -30

1, -3, -15, 19, 30

1, 3, -15, 19, 30

1, -3, 15, -19, 30

Tags

CCSS.HSA.APR.D.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

When setting this problem up using synthetic division, what order of numbers should fill in the squares?

1, 6, 9, -3

-1, 0, -6, 0, -9, 3

-1, -6, -9, 3

1, 0, 6, 0, 9, -3

Tags

CCSS.HSA.APR.D.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the problem


  (x32x2+6x10)\left(x^3-2x^2+6x-10\right)   ÷\div    (x22)\left(x^2-2\right) 

are you allowed to use synthetic division?

Yes

No

Tags

CCSS.HSA.APR.D.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Divide using synthetic division

  (y3+y210)÷(y+3)\left(y^3+y^2-10\right)\div\left(y+3\right)  


What is the remainder?

0

-8

-28

26

Tags

CCSS.HSA.APR.D.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Divide using synthetic division

  (x38x229x+180)÷(x10)\left(x^3-8x^2-29x+180\right)\div\left(x-10\right)  


What is the remainder?

0

90

180

-90

Tags

CCSS.HSA.APR.D.6

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