Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What does it mean to multiply polynomials?

Back

Multiplying polynomials involves using the distributive property to combine each term in one polynomial with each term in another polynomial.

Tags

CCSS.HSA.APR.A.1

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Tags

CCSS.6.EE.A.3

Front

Multiply: (x + 7)(x + 9)

Back

x² + 16x + 63

Tags

CCSS.HSA.APR.A.1

Front

Multiply: (x + 7)(x - 2)

Back

x² + 5x - 14

Tags

CCSS.HSA.APR.A.1

Front

Simplify: 2x(-2x - 3)

Back

-4x² - 6x

Tags

CCSS.HSA.APR.A.1

Front

What is the difference of two polynomials?

Back

The difference of two polynomials is found by subtracting the corresponding coefficients of like terms.

Tags

CCSS.HSA.APR.A.1

Front

Find the difference: (3 - 2x + 2x²) - (4x - 5 + 3x²)

Back

-x² - 6x + 8

Tags

CCSS.HSA.APR.A.1

Front

Simplify: 5(3x + 2)

Back

15x + 10

Tags

CCSS.6.EE.A.3

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Tags

CCSS.6.EE.A.2B