Factoring Quadratics Review

Front

What is the standard form of a quadratic equation?

Back

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

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression means rewriting it as a product of two binomials.

Front

What is the Zero-Product Property?

Back

The Zero-Product Property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

Factor the quadratic expression: x² + 5x + 6

Back

(x + 2)(x + 3)

Front

Factor the quadratic expression: x² - 7x + 10

Back

(x - 2)(x - 5)

Front

What is the difference of squares?

Back

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

Front

Factor the expression: x² - 16

Back

(x - 4)(x + 4)

Front

How do you factor a quadratic expression in the form ax² + bx + c?

Back

To factor, find two numbers that multiply to ac and add to b, then rewrite the middle term and factor by grouping.

Front

Factor the quadratic expression: 2x² + 8x

Back

2x(x + 4)

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as x + 3 or 2x - 5.