IXL - Solve a quadratic equation by factoring (Geometry 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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