College Algebra : Finding Zeros of a Polynomial
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Example Question #21 : Finding Zeros Of A Polynomial
Consider the polynomial
Which of the following is true of the rational zeroes of 
Hint: Think "Rational Zeroes Theorem".
The only rational zeroes of 
The only rational zero of 
The only rational zero of 
The only rational zeroes of
By the Rational Zeroes Theorem, any rational zeroes of a polynomial must be obtainable by dividing a factor of the constant coefficient by a factor of the leading coefficient. Since both values are equal to 1, and 1 has only 1 as a factor, this restricts the set of possible rational zeroes to the set 
Both values can be tested as follows:
1 is a zero of 
1 is indeed a zero.
Example Question #22 : Finding Zeros Of A Polynomial
Determine the zeros of the following equation:
To determine the zeros of this equation, we will need to factorize the polynomial.
The only common factors of 
Set each binomial equal to zero and solve.
The zeros are:
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