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 for a quadratic to be factorable?

Back

A quadratic is factorable if it can be expressed as the product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

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

How do you factor a perfect square trinomial?

Back

A perfect square trinomial can be factored as (a + b)² or (a - b)², where a² + 2ab + b² = (a + b)² and a² - 2ab + b² = (a - b)².

Front

What is the difference of squares?

Back

The difference of squares is a² - b², which can be factored as (a + b)(a - b).

Front

Factor the quadratic: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

Factor the quadratic: 4x² - 16x - 9

Back

(4x - 18)(4x + 2)

Front

Factor the quadratic: d² - 10d + 25

Back

(d - 5)(d - 5) or (d - 5)²