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 involves rewriting it as a product of two binomials, allowing us to find its roots or solutions.

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.

Front

What is the first step in solving a quadratic equation by factoring?

Back

The first step is to set the equation to zero and, if possible, factor out the greatest common factor (GCF).

Tags

CCSS.HSA-REI.B.4B

Front

How do you find the roots of a factored quadratic equation?

Back

Set each factor equal to zero and solve for the variable.

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

For a quadratic equation ax² + bx + c = 0, the sum of the roots is -b/a and the product of the roots is c/a.

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x² + 4x - 32 = 0

Back

x = -8, 4

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: 3x² + 18x + 15 = 0

Back

x = -5, -1

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x² = 9x - 20

Back

x = 4, 5

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: 5x² + 13x + 6 = 0

Back

x = -2, -3/5

Tags

CCSS.HSA-REI.B.4B