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 + 7x + 12

Back

(x + 3)(x + 4)

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: 4x² - 16x - 9

Back

(2x - 9)(2x + 1)

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: d² - 10d + 25

Back

(d - 5)(d - 5) or (d - 5)²

Front

What is the difference of squares?

Back

The difference of squares is a² - b² = (a + b)(a - b).

Front

Factor the quadratic: 4x² - 20x + 25

Back

(2x - 5)(2x - 5) or (2x - 5)²

Front

What is the leading coefficient in a quadratic equation?

Back

The leading coefficient is the coefficient of the x² term in the quadratic equation.