Factor Quadratics

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c, 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 factored form of x² - 5x + 6?

Back

(x - 2)(x - 3)

Front

How do you determine if a quadratic expression is factorable?

Back

A quadratic expression is factorable if its discriminant (b² - 4ac) is a perfect square.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root: b² - 4ac.

Front

What is the factored form of 2x² - 8?

Back

2(x - 2)(x + 2)

Front

What is the process to factor a quadratic expression?

Back

1. Identify a, b, and c. 2. Find two numbers that multiply to ac and add to b. 3. Rewrite the expression using these numbers. 4. Factor by grouping.

Front

What is the factored form of 3x² + 12x + 12?

Back

3(x + 2)(x + 2) or 3(x + 2)².

Front

What is the factored form of x² + 6x + 9?

Back

(x + 3)(x + 3) or (x + 3)².

Front

What is the factored form of 4x² - 12x + 9?

Back

(2x - 3)(2x - 3) or (2x - 3)².