IXL - Find the roots of factored polynomials (Precalculus practice)

Find the roots of the factored polynomial.

(

–

)

(

)

Write your answer as a list of values separated by commas.

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question

Find the roots of the factored polynomial.

(

)

(

)

Write your answer as a list of values separated by commas.

key idea

(

)

is a polynomial and

is a real number such that

(

)

then

is called a zero or a root of

(

)

Factor Theorem

The binomial

(

–

)

is a linear factor of the polynomial

(

)

if and only if

is a zero (or root) of

(

)

solution

First, identify the factors. Then use the factor theorem to find the roots.

Identify the factors.

The factors of

(

)

(

)

are

(

)

and

(

)

Find the roots.

Since

(

)

(

–

)

is a factor,

–

is a root.

Since

(

)

(

–

)

is a factor,

–

is a root.

This means the roots are

–

and

–

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

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