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.

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 in a sum.

Front

Simplify: 5(3x + 2)

Back

15x + 10

Front

Simplify: 2x(-2x - 3)

Back

-4x² - 6x

Front

Multiply: (4x + 1)(5x - 2)

Back

20x² - 3x - 2

Front

Multiply: (x - 4)(x - 6)

Back

x² - 10x + 24

Front

What is the result of multiplying a term by a polynomial?

Back

When you multiply a term by a polynomial, you distribute the term to each term in the polynomial.

Front

Multiply: 7x²y³(2x⁴y⁵ + 6xy³)

Back

14x⁶y⁸ + 42x³y⁶

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.