Question

List the potential rational zeros of the polynomial function. Do not attempt to find the zeros.

f(x) = 7x4 - 5x3 + x2 - x + 1
Choose the answer below that lists the potential rational zeros.
A. -1,1, -7,7, -5,5, -1/7,1/7, -1/5,1/5
B. -1,1, -1/7,1/7, -1/5,1/5
C. -1,1, -7,7
D. -1,1, -1/7,1/7

Answer 1

D. -1,1, -1/7,1/7

Explanation:

Use all the factors of the leading coefficient, 7. And also, all the factors of the constant, 1.

Put the factors of the constant on top (numerator). Put the factors of the leading coefficient on the bottom (denominator).

+- 1/1 and +- 1/7

Simplifying:

-1, 1, -1/7, 1/7

That's it. Just list of possibilities of the rational zeroes.