Factoring Binomials (GCF)

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 does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers share.

Front

How do you find the GCF of two terms?

Back

To find the GCF, identify the common factors of the terms and choose the largest one.

Front

Factor the expression: x² - 12x

Back

x(x - 12)

Front

What is the result of multiplying (4x + 3)(x + 2)?

Back

4x² + 11x + 6

Front

Factor the expression: 2n² - 8n³

Back

2n²(1 - 4n)

Front

Factor the expression: 4b⁵ + 4b³ + 16b²

Back

4b²(b³ + b + 4)

Front

Factor the expression: -4x² + 2x

Back

-2x(2x - 1)

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for the GCF of all the terms in the polynomial.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.