Factoring Expressions

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or 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: 4x + 30y

Back

2(2x + 15y)

Front

What does it mean to factor out a variable coefficient?

Back

To factor out a variable coefficient means to extract the common variable and its coefficient from an expression.

Front

Factor the expression: 1.5a - 7.5

Back

a - 5

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width.

Front

If the area of a rectangle is (18x - 12) ft², what is one expression for the length?

Back

The length is 6(3x - 2)

Front

Factor completely: 6x - 3

Back

3(2x - 1)

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

Factor the expression: 12x - 20

Back

4(3x - 5)