What is the Remainder Theorem?

If a polynomial f(x) is divided by (x - c), the remainder is f(c).

What is synthetic division?

A shortcut method for dividing a polynomial by a binomial of the form (x - c).

What does it mean to factor a polynomial?

To express it as a product of its factors.

What is the difference between a factor and a multiple?

A factor divides a number evenly, while a multiple is the result of multiplying a number by an integer.

What is the leading coefficient of a polynomial?

The coefficient of the term with the highest degree.

What is the degree of a polynomial?

The highest power of the variable in the polynomial.

What is the purpose of polynomial division?

To simplify expressions and solve polynomial equations.

What is the Factor Theorem?

A polynomial f(x) has a factor (x - c) if and only if f(c) = 0.

Dividing Polynomials By Binomials

Dividing Polynomials by binomials

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.APR.D.6, HSA.APR.B.2, HSA.APR.C.4

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is the result of dividing $\frac{2r^2+16r}{r+8}$ ?

Back

Tags

CCSS.HSA.APR.D.6

FLASHCARD QUESTION

Front

What is the result of dividing $\frac{x^2+2x+1}{x+1}$ ?

Back

x+1

Tags

CCSS.HSA.APR.D.6

FLASHCARD QUESTION

Front

What binomial do you divide by to factor the expression 25x^2 - 81?

Back

(5x - 9)(5x + 9)

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

What is the result of dividing $\frac{x^2-13x+40}{x-8}$ ?

Back

x-5

Tags

CCSS.HSA.APR.D.6

FLASHCARD QUESTION

Front

What is polynomial long division?

Back

A method for dividing a polynomial by another polynomial of lower degree.

Tags

CCSS.HSA.APR.D.6

FLASHCARD QUESTION

Front

Define a polynomial.

Back

An expression consisting of variables and coefficients, involving only non-negative integer exponents.

FLASHCARD QUESTION

Front

What is a binomial?

Back

A polynomial with exactly two terms.

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