Factoring Quadratics

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

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 GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to the constant term (c) and add to the linear coefficient (b).

Front

Factor the expression: x² - 10x + 24

Back

(x - 6)(x - 4)

Front

Factor the expression: x² + 11x + 24

Back

(x + 8)(x + 3)

Front

What is the first step in factoring a trinomial?

Back

The first step is to identify the coefficients of the quadratic (a), linear (b), and constant (c) terms.

Front

Factor the expression: 24c⁵ - 12c³

Back

12c³(2c² - 1)

Front

What is the factored form of 5x² + 20x + 20?

Back

5(x + 2)(x + 2)

Front

What is the relationship between the roots and factors of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero, and they correspond to the factors of the quadratic expression.

Tags

CCSS.HSF-IF.C.7C