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

Factor the quadratic: x² + 5x + 6

Back

(x + 2)(x + 3)

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: x² - 9

Back

(x - 3)(x + 3)

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

Factor the quadratic: 2x² + 8x

Back

2x(x + 4)

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, e.g., (a + b)² = a² + 2ab + b².

Front

Factor the quadratic: x² - 4x + 4

Back

(x - 2)²

Front

What is the leading coefficient in a quadratic equation?

Back

The leading coefficient is the coefficient of the term with the highest degree, which is 'a' in ax² + bx + c.