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Polynomial synthetic division/substitution

Authored by John Grinarml

Mathematics

8th - 11th Grade

CCSS covered

Used 6+ times

Polynomial synthetic division/substitution
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8 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

2x3 - 5x - 7 ÷ x - 2

2x3 - 4x2 + 3x - 13
2x3 + 4x2 +3x - 1
2x2 - 4x + 3 - 13/x-2
2x2 + 4x + 3 - 1/x-2

Tags

CCSS.HSA.APR.D.6

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What should be the order of the polynomial coefficients if
(3x - 4x3 + 6x4 + 1) / (x + 3)

3   0   -4   6   1
6   -4   3   1   0
6   -4   0   3   1
-6   4   0   -3   -1

Tags

CCSS.HSA.APR.D.6

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

4x4+4x3-9x2-x+2 ÷ x-1

4x3+8x2-7x-2
4x3+19x2-x-2
4x3+8x2-x-9
4x3+8x2-x-2

Tags

CCSS.HSA.APR.D.6

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Use synthetic substitution to evaluate the given value and determine the remainder.

 f(x)=4x4+9x3+8x2+9x13 at x=3f\left(x\right)=-4x^4+9x^3+8x^2+9x-13\ at\ x=3  

-11

10

11

5

Tags

CCSS.HSA.APR.D.6

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If you were dividing x6 + 4x3 + 2, how many 0's would you need when setting up the top row of your synthetic division?

0
2
4
6

Tags

CCSS.HSA.APR.D.6

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which term is missing in this problem?
2x3 + 5x2 + 9 ÷
x + 3

x4
x3
x2
x

Tags

CCSS.HSA.APR.D.6

7.

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

Use synthetic substitution to evaluate the given value and determine the remainder.

 f(x)= 5x5x4+x36x21 at x=1f\left(x\right)=\ -5x^5-x^4+x^3-6x^2-1\ at\ x=-1  



(a)  

Tags

CCSS.HSA.APR.B.2

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