Factoring GCF

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest positive integer that divides each of the given integers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF of two numbers, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 24 and 36?

Back

The GCF of 24 and 36 is 12.

Front

What is the first step in factoring an expression?

Back

The first step in factoring an expression is to identify the GCF of all the terms in the expression.

Front

Factor the expression: 8x^3 + 12x^2.

Back

4x^2(2x + 3).

Front

What is the factored form of x^2 - 9?

Back

(x - 3)(x + 3), which is a difference of squares.

Tags

CCSS.HSA.APR.C.4

Front

How do you factor a quadratic expression in the form ax^2 + bx + c?

Back

To factor a quadratic expression, look for two numbers that multiply to ac (the product of a and c) and add to b. Then, rewrite the expression using these numbers.

Front

What is the factored form of 2x^2 + 8x?

Back

2x(x + 4).

Front

What is the GCF of the coefficients in the expression 15x^2 + 25x?

Back

The GCF of the coefficients 15 and 25 is 5.

Front

Factor the expression: 3x^2 - 12x.

Back

3x(x - 4).