IXL - Solve quadratic equations by factoring: perfect squares (Algebra 1 practice)

Solve for

–

Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.

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question

Solve for

–

Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.

key idea

Factoring perfect square trinomials:

(

)

–

(

–

)

solution

Step 1: Factor.

Notice that

–

is a perfect square trinomial because it can be written in the form

–

where

and

is 2.

–

Now use the formula for factoring perfect square trinomials.

–

(

–

)

–

(

–

)

–

(

–

)

Step 2: Use the zero product property to solve.

According to the zero product property, if

(

–

)

then

–

must be 0. Write the equation and solve for

–

The solution is

Looking for more? Try these:

Lesson: Factoring quadratic equations

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Factor quadratics: perfect squares

Z.2Solve a quadratic equation using the zero product property

X.3Factor out a monomial

Lesson: Factoring quadratic equations

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