Find all the rational zeros of the function .

Question

Find all the rational zeros of the function  .

Quizplus · Accepted Answer

To find the rational zeros, we need to factor the polynomial. Using a computer algebra system, we get:

11eb11e8_19c8_b24e_ad38_99406782a93a_TB4588_11 = (x-2)(x+1)(x+3)

The rational zeros are the values of x that make the polynomial equal to zero when substituted in:

(x-2) = 0 gives x = 2
(x+1) = 0 gives x = -1
(x+3) = 0 gives x = -3

Therefore, the rational zeros are 2, -1, and -3. 
The only choice that includes -1 and -3 is B, so the answer is B.

Find All the Rational Zeros of the Function