Question

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x - 7x + 11?
o+1+1+1,15
11
5. +1, +5 +11
11
1 5
++
5
11
11. 01. +

Answer 1

Answer:

±1, ±11, ±1/5, ±11/5

Step-by-step explanation:

f(x) = 5x³ - 7x + 11

constant term: 11

leading coefficient: 5

factors of the constant term: ±1, ±11

factors of the leading coefficient: ±1, ±5

possible rational roots = factors of the constant term/factors of the leading coefficient = ±1, ±11, ±1/5, ±11/5