Solving Quadratics by Factoring

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation means expressing it as a product of two binomials, such as (px + q)(rx + s) = 0.

Tags

CCSS.HSA-REI.B.4B

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Tags

CCSS.HSA-REI.B.4B

Front

How do you find the roots of a quadratic equation by factoring?

Back

To find the roots, factor the quadratic into two binomials, set each factor equal to zero, and solve for x.

Tags

CCSS.HSA-REI.B.4B

Front

Solve: 4x² - 25x + 25 = 0

Back

x = 5, x = 5/4

Tags

CCSS.HSA-REI.B.4B

Front

Solve: 6x² + 17x + 12 = 0

Back

x = -4/3, x = -3/2

Tags

CCSS.HSA-REI.B.4B

Front

Solve: x² + 2x - 24 = 0

Back

x = -6, x = 4

Tags

CCSS.HSA-REI.B.4B

Front

Solve: x² + 9x + 20 = 0

Back

x = -4, x = -5

Tags

CCSS.HSA-REI.B.4B

Front

Solve: x² + 7x + 12 = 0

Back

x = -3, x = -4

Tags

CCSS.HSA-REI.B.4B

Front

What is the standard form of a quadratic equation?

Back

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