Solving by Factoring

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 does it mean to solve an equation by factoring?

Back

To solve an equation by factoring means to express the equation in a factored form and then set each factor equal to zero to find the solutions.

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 or more factors is zero, then at least one of the factors must be zero.

Tags

CCSS.HSA-REI.B.4B

Front

How do you factor a quadratic equation of the form ax^2 + bx + c?

Back

To factor a quadratic equation, find two numbers that multiply to ac (the product of a and c) and add to b. Rewrite the equation using these numbers to factor it.

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

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

Back

The first step is to set the equation equal to zero.

Tags

CCSS.HSA-REI.B.4B

Front

Solve for x: x^2 - 5x + 6 = 0

Back

(x - 2)(x - 3) = 0; x = 2 or x = 3.

Tags

CCSS.HSA-REI.B.4B

Front

Solve for v: v^2 - 4 = 0

Back

(v - 2)(v + 2) = 0; v = 2 or v = -2.

Tags

CCSS.HSA-REI.B.4B

Front

What is the factored form of x^2 + 7x + 10?

Back

(x + 2)(x + 5).

Front

Solve for n: n^2 - 4n = 0

Back

n(n - 4) = 0; n = 0 or n = 4.

Tags

CCSS.HSA-REI.B.4B