Dividing Polynomials

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial or a monomial, similar to long division with numbers.

Tags

CCSS.HSA.APR.D.6

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 3x^2 or -5.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

How do you divide a polynomial by a monomial?

Back

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial.

Tags

CCSS.HSA.APR.D.6

Front

What is the result of dividing (24x + 4) by (6x + 1)?

Back

4

Tags

CCSS.HSA.APR.D.6

Front

What is the result of dividing (4x^2 - 24x + 35) by (2x - 5)?

Back

2x - 7

Tags

CCSS.HSA.APR.D.6

Front

What is the width of a rectangular pool table with area x^2 + 14x + 40 and length x + 4?

Back

x + 10

Tags

CCSS.HSA.APR.D.6

Front

What is the result of dividing 15x^9 - 8x^3 by 3x^6?

Back

5x^3 - rac{8}{3}x^3.

Tags

CCSS.HSA.APR.D.6

Front

What is the first step in polynomial long division?

Back

Divide the leading term of the dividend by the leading term of the divisor.

Tags

CCSS.HSA.APR.D.6

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be simpler polynomials.