Dividing Polynomials with Synthetic Division
Authored by Anthony Clark
Mathematics
11th Grade
CCSS covered
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Perform synthetic division to divide (3x^3 + 5x^2 - 2x + 7) by (x - 2).
3x^2 + 11x + 22 + 51/(x - 3)
3x^2 + 11x + 22 + 51/(x + 1)
3x^2 + 11x + 22 + 51/(x - 2)
3x^2 + 11x + 22 + 51/(x + 2)
Answer explanation
The synthetic division process correctly yields 3x^2 + 11x + 22 with a remainder of 51/(x - 2), leading to the correct answer choice.
Tags
CCSS.HSA.APR.D.6
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Divide (4x^4 - 2x^3 + 6x^2 - 8x + 5) by (x + 3) using synthetic division.
4x^3 - 14x^2 + 48x - 152 + 461/(x - 3)
4x^3 - 14x^2 + 48x - 152 + 461/(x + 3)
4x^3 - 14x^2 + 48x - 152 + 461/(x - 5)
4x^3 - 14x^2 + 48x - 152 + 461/(x + 2)
Answer explanation
Choose the correct answer that matches the result of dividing (4x^4 - 2x^3 + 6x^2 - 8x + 5) by (x + 3) using synthetic division.
Tags
CCSS.HSA.APR.D.6
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the result of dividing (5x^3 - 2x^2 + 4x - 7) by (x + 2) using synthetic division?
5x^2 - 12x + 28 - 47/(x + 2)
5x^2 - 12x + 28 - 47/(x - 1)
5x^2 - 12x + 28 - 47/(x - 2)
5x^2 - 12x + 28 - 47/(x + 3)
Answer explanation
The correct answer is 5x^2 - 12x + 28 - 47/(x + 2) obtained by dividing (5x^3 - 2x^2 + 4x - 7) by (x + 2) using synthetic division.
Tags
CCSS.HSA.APR.D.6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Divide (8x^5 - 4x^4 + 2x^3 - 6x^2 + 9x - 3) by (x - 3) using synthetic division.
8x^4 + 20x^3 + 62x^2 + 180x + 549 + 1650/(x - 5)
8x^4 + 20x^3 + 62x^2 + 180x + 549 + 1650/(x - 2)
8x^4 + 20x^3 + 62x^2 + 180x + 549 + 1650/(x - 4)
8x^4 + 20x^3 + 62x^2 + 180x + 549 + 1650/(x - 3)
Answer explanation
The correct answer is 8x^4 + 20x^3 + 62x^2 + 180x + 549 + 1650/(x - 3) as obtained by dividing using synthetic division.
Tags
CCSS.HSA.APR.D.6
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use synthetic division to divide the polynomial (2x^3 + 4x^2 - 3x + 1) by the binomial (x - 1).
2x^2 + 6x - 3
2x^2 + 4x + 3
2x^2 + 2x + 3
2x^2 + 6x + 3
Tags
CCSS.HSA.APR.D.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use synthetic division to divide the polynomial (2x^4 - 5x^3 + 3x^2 + 4x - 1) by the binomial (x + 1).
2x^3 - 7x^2 + 10x - 1
2x^3 - 7x^2 + 10x + 6
2x^3 - 7x^2 + 10x + 1
2x^3 - 7x^2 + 10x - 6
Tags
CCSS.HSA.APR.D.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Divide using synthetic division
2x3 - x2 + x + 9
2x2 - x + 1
2x2 - x + 1 + 9/(x - 2)
2x2 - 9x - 15 - 23/(x - 2)
Tags
CCSS.HSA.APR.D.6
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