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 multiply each term in one polynomial by 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 inside a parenthesis.

Front

Multiply: (5c - 2)(3c^2 - 5c + 4)

Back

15c^3 - 31c^2 + 30c - 8

Front

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

Back

2x^2 + 3x - 2

Front

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

Back

x^2 - 4x - 5

Front

Multiply: (x + 5)(x + 4)

Back

x^2 + 9x + 20

Front

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

Back

20x^2 - 3x - 2

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.