Factoring Review

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

How do you factor out the GCF from an expression?

Back

To factor out the GCF, divide each term of the expression by the GCF and write it outside of parentheses.

Front

Factor out the GCF: 10x³ - 15x

Back

5x(2x² - 3)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial.

Front

Factor completely: 49x² + 28x + 4

Back

(7x + 2)²

Front

What is the difference of squares?

Back

The difference of squares is a special product that states a² - b² = (a + b)(a - b).

Front

Factor: 9x² - 49

Back

(3x + 7)(3x - 7)

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

Factor completely: 3x² - 36x + 96

Back

3(x - 4)(x - 8)

Front

What is the process of factoring a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to ac and add to b, then rewrite the expression.