Multiplying & Factoring 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 factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing us to multiply a single term by two or more terms inside a parenthesis.

Front

Factor the polynomial: 8r^3 + 16r^2

Back

8r^2(r + 2)

Front

Factor the polynomial: x^2 + 9x - 36

Back

(x + 12)(x - 3)

Front

Multiply the polynomials: (2n + 2)(6n + 1)

Back

12n^2 + 14n + 2

Front

Multiply the polynomials: (x + 7)(x - 2)

Back

x^2 + 5x - 14

Front

Multiply the polynomials: (3x − 6)(7x + 7)

Back

21x^2 − 21x − 42

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.