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: 2x² - 7x + 6

Back

(x - 2)(2x - 3)

Front

Factor: 4x² - 16x - 9

Back

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

Front

What is a binomial?

Back

A binomial is a polynomial with two terms.

Front

Factor: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

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: 4x² - 20x + 25

Back

(2x - 5)(2x - 5)

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, which determines the nature of the roots.

Front

Factor: d² - 10d + 25

Back

(d - 5)(d - 5)