Factoring Quadratics

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.

Front

What does it mean to factor a quadratic expression completely?

Back

Factoring a quadratic expression completely means expressing it as a product of linear factors, if possible, such that no further factoring is possible.

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 ≠ 0.

Front

What is the difference of squares?

Back

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

Front

Factor the quadratic: 4x² - 16x - 9

Back

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

Front

Factor completely: 3x² - 7x + 2

Back

(x - 2)(3x - 1)

Front

Factor the expression: 25x² - 9

Back

(5x + 3)(5x - 3)

Front

Factor the polynomial: 5x² - 13x + 6

Back

(x - 2)(5x - 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.