Step-by-step Answer
PAGE: 140SET: ExercisesPROBLEM: 60
Please look in your text book for this problem Statement

Identify Possible Rational Zeros:

It is not practical to test all possible zeros of a polynomial function using only synthetic substitution.

The Rational Zero Theorem can be used for finding the some possible zeros to test.

The function is .

Because the leading coefficient is , the possible rational zeros are the intezer factors of the constant term .

Therefore the possible rational zeros of are .

The function is .

Perform the synthetic substitution method by testing and .

Since ,  conclude that is a zero of .

Therefore, is a rational zero.

The depressed polynomial is .

Consider .

Perform the synthetic substitution method on the depressed polynomial by testing and .

Since ,  conclude that is a zero of .

Therefore, is a rational zero.

The remaining factor is .

Therefore is a rational zero.

Therefore the factored form of qudratic expression is .

The zeros of the are .

By using Factor theorem,

When  then   is a factor of polynomial.

Factoring of .

Zeros are .

The possible rational zeros are .

The zeros of are .


"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!"

June Barnett

"Your site is amazing! It helped me get through Algebra."


"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful."

Dan Pease

Simply chose a support option

My status

JOIN US ON:     
mathskey.com is not affiliated with any Publisher, Book cover, Title, Author names appear for reference only