NY Regents Algebra II Dividing Polynomials — practice questions

Explore 3 free Dividing Polynomials questions in NY Regents Algebra II Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Dividing Polynomials questions and exercises with answers

Showing questions 1–3 of 3.

A polynomial divided by a binomial leaves a remainder of 0. What does that show?Read the answer and worked solution →Synthetic division uses which part of the dividend during the working?Read the answer and worked solution →Order one round of polynomial divisionRead the answer and worked solution →

Worked practice questions

A polynomial divided by a binomial leaves a remainder of 0. What does that show?

The binomial has degree 0
The binomial is a factor
The quotient must be zero
The dividend has no zeros

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Correct answer: B. The binomial is a factor

1. The Division Algorithm writes the dividend as divisor times quotient plus remainder. 2. With a remainder of 0 the dividend equals divisor times quotient exactly. 3. So the divisor divides evenly, which makes both the divisor and the quotient factors of the dividend. _Source: OpenStax Precalculus (CC BY 4.0), section 3.5 Dividing Polynomials_

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Synthetic division uses which part of the dividend during the working?

Only its variables
Only its exponents
Only its coefficients
Only its constant

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Correct answer: C. Only its coefficients

1. Long division of polynomials repeats the same variables on every line. 2. Synthetic division drops the variables and lines up only the coefficients. 3. The bottom row then reads off the coefficients of the quotient, with the last entry as the remainder. _Source: OpenStax Precalculus (CC BY 4.0), section 3.5 Dividing Polynomials_

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Order one round of polynomial division

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Steps

Set up division
Divide lead terms
Multiply divisor
Subtract
Bring down term

Instructions

Tap the five steps in the order that carries one round of long division through.

_Source: OpenStax Precalculus (CC BY 4.0), section 3.5 Dividing Polynomials_

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