IXL - Solve a quadratic equation by factoring (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.

solution

Step 1: Factor.

(

)

Factor out the greatest common factor,

Step 2: Use the zero product property to solve.

According to the zero product property, if

(

)

then

must be 0 or

must be 0. Write the two equations and solve for

–

The solutions are

and

–

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:

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

X.3Factor out a monomial

X.5Factor quadratics with leading coefficient 1

X.6Factor quadratics with other leading coefficients

X.7Factor quadratics: special cases

Lesson: Factoring quadratic equations

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