Math, asked by kimberly1278, 1 year ago

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11?

Answers

Answered by Anonymous
4

Answer:

The Rational Root Theorem tells us that if there is a rational root p/q (in lowest terms) of this polynomial, then:

p is a factor of 11  and  q is a factor of 5.

The factors of 11 are -11, -1, 1, 11.

The factors of 5 are -5, 1, 1, 5.

So by the Rational Root Theorem, if there are rational roots at all, then they must be among the eight numbers

-11/5, -11, -1/5, -1, 1, 1/5, 11, 11/5


Anonymous: Incidentally, testing these one at a time, none of them turns out to be a root. So we can then say further that f(x) has no rational roots at all.
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