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, meaning you can distribute a factor across a sum.

Tags

CCSS.6.EE.A.3

Front

What is the result of multiplying (x + 7)(x - 2)?

Back

x² + 5x - 14.

Tags

CCSS.HSA.APR.A.1

Front

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

Back

You distribute 5 to both terms: 5 * 3x + 5 * 2 = 15x + 10.

Tags

CCSS.6.EE.A.3

Front

What is the result of multiplying (4x + 1)(5x - 2)?

Back

20x² - 3x - 2.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of multiplying (x - 5)(x + 1)?

Back

x² - 4x - 5.

Tags

CCSS.HSA.APR.A.1

Front

How do you simplify 2x(-2x - 3)?

Back

You distribute 2x to both terms: 2x * -2x + 2x * -3 = -4x² - 6x.

Tags

CCSS.6.EE.A.3

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.