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 share. It is used to simplify expressions before factoring.

Front

Factor the expression: 4x + 30y

Back

2(2x + 15y)

Front

Factor in simplest form: 6x + 12

Back

6(x + 2)

Front

True or False? 2x + 6 = 2(x + 3)

Back

True

Front

Factor the expression: 12x - 20

Back

4(3x - 5)

Front

Factor the expression: 5x - 25

Back

5(x - 5)

Front

What does it mean to factor an expression completely?

Back

Factoring an expression completely means breaking it down into its prime factors or irreducible factors.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as x + 5 or 3x^2 - 2.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 5x + 6.