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.

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.

Front

Find the product: (y - 3)(y + 7)

Back

y² + 4y - 21

Front

Simplify: 5(3x + 2)

Back

15x + 10

Front

Find the product: (x - 7)(x + 7)

Back

x² - 49

Front

Find the product: (2x - 1)(x + 2)

Back

2x² + 3x - 2

Front

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

Back

To multiply a monomial by a polynomial, multiply the monomial by each term in the polynomial.

Front

Find the product: -5x⁶(3x² - 12x + 30)

Back

-15x⁸ + 60x⁷ - 150x⁶

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.