  PRE-ALGEBRA
ALGEBRA 1
GEOMETRY
ALGEBRA 2
TRIGONOMETRY
PRE-CALCULUS
CALCULUS    Precalculus 2014 PAGE: 140 SET: Exercises PROBLEM: 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 . TESTIMONIALS
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