Factoring

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 the expression: 10x³ - 15x

Back

5x(2x² - 3)

Front

What is the difference of squares formula?

Back

a² - b² = (a + b)(a - b) is used to factor expressions that are the difference of two squares.

Front

Factor the expression: x² - 25

Back

(x + 5)(x - 5)

Front

What does it mean for an expression to be prime in factoring?

Back

An expression is prime if it cannot be factored further into simpler expressions with integer coefficients.

Front

Factor the expression: 12x + 6

Back

6(2x + 1)

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

Solve by factoring: x² - 6x - 7 = 0

Back

x = -1 and x = 7

Front

What is the process to solve a quadratic equation by factoring?

Back

1. Set the equation to zero. 2. Factor the quadratic expression. 3. Set each factor to zero and solve for x.