Factoring Expressions

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into simpler components, called factors, that when multiplied together give the original expression.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

Factor the expression: 35c - 15d

Back

5(7c - 3d)

Front

Factor the expression: 15x + 50xy

Back

5x(3 + 10y)

Front

Factor the expression: 4x - 16

Back

4(x - 4)

Front

Factor the expression: 9x - 81

Back

9(x - 9)

Front

Factor the expression: 6m + 2n - 14

Back

2(3m + n - 7)

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What does it mean to factor completely?

Back

To factor completely means to break down an expression into its simplest factors, such that no further factoring is possible.