Factoring Quadratics and Zero Product Property

Front

What is the Zero Product Property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

Factor the quadratic: x² - 5x + 6

Back

(x - 2)(x - 3)

Front

What does it mean to factor a quadratic expression?

Back

To express it as a product of its linear factors.

Front

Find the solutions of the equation: x² - 8x + 15 = 0

Back

3 and 5

Front

Factor the quadratic: 2x² + 8x

Back

2x(x + 4)

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0, where a, b, and c are constants.

Front

Find the solutions of the equation: x² + 4x + 4 = 0

Back

-2 and -2 (a repeated root).

Front

Factor the quadratic: x² - 9

Back

(x - 3)(x + 3) (difference of squares).

Front

What is the first step in factoring a quadratic expression?

Back

Look for a common factor in all terms.

Front

Find the solutions of the equation: x² - 6x + 9 = 0

Back

3 and 3 (a repeated root).