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 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 are the roots or zeros of a quadratic equation?

Back

The roots or zeros of a quadratic equation are the values of x that make the equation equal to zero.

Tags

CCSS.HSA-REI.B.4B

Front

What is the factored form of a quadratic equation?

Back

The factored form of a quadratic equation is expressed as (x - p)(x - q) = 0, where p and q are the roots of the equation.

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

To find the roots by factoring, rewrite the equation in the form (x - p)(x - q) = 0 and solve for x.

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 + 15x + 44 = 0

Back

x = -11 or x = -4.

Tags

CCSS.HSA-REI.B.4B

Front

What is the factored form of x² - 10x + 24?

Back

(x - 4)(x - 6).

Front

Solve by factoring: x² + 2x - 15 = 0

Back

x = -5 or x = 3.

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: b² + 2b - 24 = 0

Back

b = -6 or b = 4.

Tags

CCSS.HSA-REI.B.4B