Question

Which is a factor of f(x) = 60x4 + 86x3 – 46x2 – 43x + 8? Use the Rational Root Theorem to help you find your answer.

Answer 1

The rational root theorem is used to determine the possible roots of a polynomial

The factor of the polynomial function is: 6x – 1

How to determine the roots

The polynomial function is given as:

$f(x) = 60x^4 + 86x^3 - 46x^2 - 43x + 8$

Using the rational root theorem, the potential roots are:

$Roots = \pm \frac{Factors\ of\ 8}{Factors\ of\ 60}$

List the factors of 8 and 60

$Roots = \pm \frac{1,2,4,6}{1,2,3,4,5,6,10, 12, 15, 20, 30, 60}$

Simplify

$Roots = \pm(1,1/2,1/3,1/4...1/60, 2,2/3,2/5...1/30)$

Hence, the factor of the polynomial function is: 6x – 1

Read more about rational root theorem at:

brainly.com/question/1353541