Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists 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 result of multiplying (x + 7)(x + 9)?

Back

x² + 16x + 63

Tags

CCSS.HSA.APR.A.1

Front

What is the result of multiplying (3x − 6)(7x + 7)?

Back

21x² − 21x − 42

Tags

CCSS.HSA.APR.A.1

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is equal to a² + 2ab + b².

Tags

CCSS.HSA.APR.C.4

Front

What is the result of (5s + 2)²?

Back

25s² + 20s + 4

Tags

CCSS.HSA.APR.C.4

Front

How do you simplify the expression 5(3x + 2)?

Back

15x + 10

Tags

CCSS.6.EE.A.3

Front

What is the result of (m + 11)²?

Back

m² + 22m + 121

Tags

CCSS.HSA.APR.C.4

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 two or more terms inside parentheses.

Tags

CCSS.6.EE.A.3

Front

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials, standing for First, Outside, Inside, Last.

Tags

CCSS.HSA.APR.A.1