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 distributing each term in one polynomial by each term in the other polynomial and then combining like terms.

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

Multiply: -5x^6(3x^2 - 12x + 30)

Back

-15x^8 + 60x^7 - 150x^6

Front

Multiply: (3x - 6)(7x + 7)

Back

21x^2 - 21x - 42

Front

Multiply: (x + 3)(x + 7)

Back

x^2 + 10x + 21

Front

Multiply: (2x - 3)(2x + 3)

Back

4x^2 - 9

Front

Multiply: (x - 3)(x^2 + 2x + 7)

Back

x^3 - x^2 + x - 21

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as (x + 3) or (2x - 5).

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as (x^2 + 2x + 1).