Dividing Polynomials

Front

Define polynomial.

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables.

Front

What does it mean to divide a polynomial by a monomial?

Back

Dividing a polynomial by a monomial involves dividing each term of the polynomial by the monomial.

Tags

CCSS.HSA.APR.D.6

Front

Divide: (9x² + 6x) ÷ 3x

Back

3x + 2

Tags

CCSS.HSA.APR.D.6

Front

Divide: (15x⁹ - 8x³) ÷ 3x⁶

Back

5x³ - \frac{8}{3}x^{-3} or 5x³ - 8/x³

Tags

CCSS.HSA.APR.D.6

Front

Divide: (2x⁸ - 8x² - 28x) ÷ 2x

Back

x⁷ - 4x - 14

Tags

CCSS.HSA.APR.D.6

Front

Divide: (4x² - 24x + 35) ÷ (2x - 5)

Back

2x - 7

Tags

CCSS.HSA.APR.D.6

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a binomial of the form (x - c).

Tags

CCSS.HSA.APR.D.6