Factoring Quadratics

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

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 a quadratic expression in the form ax² + bx + c?

Back

To factor a quadratic expression, find two numbers that multiply to ac (the product of a and c) and add to b.

Front

Factor the expression: 2c² + 2c - 84

Back

2(c + 7)(c - 6)

Front

Factor the expression: x² - 10x - 24

Back

(x - 12)(x + 2)

Front

Factor the expression: x² - 10x + 24

Back

(x - 6)(x - 4)

Front

Factor the expression: x² + 9x + 20

Back

(x + 4)(x + 5)

Front

Factor the expression: 4x² - 20x + 25

Back

(2x - 5)²

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

What is the difference of squares?

Back

The difference of squares is a special factoring pattern where a² - b² = (a + b)(a - b).