Solving by Factoring A2CP

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a - b)(a + b).

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 49x² - 100.

Back

(7x - 10)(7x + 10)

Tags

CCSS.HSA.APR.C.4

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

How do you solve a quadratic equation by factoring?

Back

To solve by factoring, rewrite the equation in standard form, factor the quadratic, set each factor to zero, and solve for the variable.

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: 4x² - 3 = -11x.

Back

x = 1/4 and x = -3

Tags

CCSS.HSA-REI.B.4B

Front

What are the roots of a quadratic equation?

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x² - 9x + 20 = 0.

Back

x = 4 and x = 5

Tags

CCSS.HSA-REI.B.4B

Front

What is the zero product property?

Back

The zero product property states that if ab = 0, then either a = 0 or b = 0.

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: 2x² + 7x + 6 = 0.

Back

x = -3/2 and x = -2

Tags

CCSS.HSA-REI.B.4B