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: 6x + 12

Back

6(x + 2)

Front

Factor the expression: 17xy - x

Back

x(17y - 1)

Front

Factor the expression: 12x - 20

Back

4(3x - 5)

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

Identify the like terms in the expression: -9y² + 4 - 2y + 5y²

Back

-9y² and 5y²

Front

Factor the expression: 4x + 30y

Back

2(2x + 15y)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents.

Front

What does it mean to factor an expression completely?

Back

Factoring an expression completely means breaking it down into its simplest factors that cannot be factored further.