Dividing Polynomials by Binomials Using 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
Which of the following is a benefit of using synthetic division over long division?
Synthetic division can be used for dividing by any polynomial of degree greater than 1.
Synthetic division requires less writing and fewer calculations for polynomials divided by linear binomials.
Synthetic division provides more detail about the quotient and remainder.
Synthetic division is the only method that can be used to divide polynomials with complex roots.
Tags
CCSS.HSA.APR.D.6
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.HSA.APR.D.6
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When applying synthetic division to factor polynomials, what must be true about the divisor?
The divisor must be a polynomial of degree 2 or higher.
The divisor must be a linear polynomial with a leading coefficient of 1.
The divisor can be any polynomial.
The divisor must be a linear polynomial.
Tags
CCSS.HSA.APR.D.6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For synthetic division, what would be the number in the left hand box?
0
1
2
3
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
Divide using synthetic division (2x³ + 4x² - 5) by (x + 3).
2x² + 2x - 4 - 12/(x + 3)
2x² - 2x + 6 - 23/(x + 3)
2x² - 2x + 8 - 20/(x + 3)
2x² - 4x + 1
Tags
CCSS.HSA.APR.D.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use synthetic division to divide the polynomial (5x^3 + 2x^2 - 4x + 1) by the binomial (x + 3).
5x^2 - 13x + 35 - 104/(x - 3)
5x^2 - 13x + 35 + 104/(x + 3)
5x^2 - 13x + 35 - 104/(x + 2)
5x^2 - 13x + 35 - 104/(x + 3)
Tags
CCSS.HSA.APR.D.6
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