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 are the factors of the expression 5x² + 20x + 20?

Back

5(x+2)(x+2)

Front

How do you factor a difference of squares?

Back

A difference of squares can be factored using the formula a² - b² = (a - b)(a + b).

Tags

CCSS.HSA.APR.C.4

Front

What are the factors of the expression x² - 81?

Back

(x-9)(x+9)

Tags

CCSS.HSA.APR.C.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.

Tags

CCSS.HSA-REI.B.4B

Front

What are the roots of the equation 6x² - x - 2 = 0?

Back

x = 2/3, -1/2

Tags

CCSS.HSA-REI.B.4B

Front

What is the process to solve a quadratic equation by factoring?

Back

1. Set the equation to zero. 2. Factor the quadratic expression. 3. Set each factor equal to zero and solve for x.

Tags

CCSS.HSA-REI.B.4B

Front

What are the factors of the expression x² - 8x - 48?

Back

(x-12)(x+4)

Front

What does it mean for a quadratic to be factorable?

Back

A quadratic is factorable if it can be expressed as a product of two binomials with real coefficients.