College

According to the Rational Root Theorem, what are all the potential rational roots of [tex]f(x) = 5x^3 - 7x + 11[/tex]?

A. Plus-or-minus one-eleventh, plus-or-minus five-elevenths, plus-or-minus 1, plus-or-minus 5
B. Plus-or-minus one-fifth, plus-or-minus 1, plus-or-minus eleven-fifths, plus-or-minus 11
C. Plus-or-minus one-eleventh, plus-or-minus one-fifth, plus-or-minus five-elevenths, plus-or-minus 1, plus-or-minus eleven-fifths, plus-or-minus 5, plus-or-minus 11
D. 0, plus-or-minus one-eleventh, plus-or-minus one-fifth, plus-or-minus five-elevenths, plus-or-minus 1, plus-or-minus eleven-fifths, plus-or-minus 5, plus-or-minus 11

Answer :

According to the Rational Root Theorem, the potential roots of f(x) = 5x² – 7x + 11 are; Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11.

Rational Root Theorem:

The given function is; f(x) = 5x² – 7x + 11

On this note; Using the rational Root Theorem while determining the root; we have;

f(x) = 0 = x² -7/5x + 11/5.

The possible roots are therefore the factors of the constant, 11/5 and are as follows;

  • ±11/5
  • ±1
  • ±11
  • ±1/5.

Read more on Rational Root Theorem;

https://brainly.com/question/4251786

Answer:

Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11

Step-by-step explanation:

Other Questions