Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^2 + 3x + 5 is a polynomial.

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. It allows you to multiply a single term by each term in a polynomial.

Front

How do you multiply a binomial by a trinomial?

Back

To multiply a binomial by a trinomial, use the distributive property to multiply each term in the binomial by each term in the trinomial, then combine like terms.

Front

What is the result of (x - 3)(x^2 + 2x + 7)?

Back

The result is x^3 - x^2 + x - 21.

Front

What is the result of (5x + 2)(x^2 - 3x + 6)?

Back

The result is 5x^3 - 13x^2 + 24x + 12.

Front

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

Back

The result is x^2 - 4x - 5.

Front

What is the result of (x + 7)(x + 9)?

Back

The result is x^2 + 16x + 63.

Front

How do you square a binomial?

Back

To square a binomial (a + b)^2, use the formula: (a + b)^2 = a^2 + 2ab + b^2.

Front

What is the result of (5s + 2)^2?

Back

The result is 25s^2 + 20s + 4.