Question

According to the Rational Root Theorem, -2/5 is a potential rational root of which function?

A. f(x) = 4x4 – 7x2 + x + 25
B. f(x) = 9x4 – 7x2 + x + 10
C. f(x) = 10x4 – 7x2 + x + 9
D. f(x) = 25x4 – 7x2 + x + 4

answer fast pls have a timer

Answer 1

Answer: the correct answer is D

Answer 2

The correct answer is D

Step-by-step explanation

According to the Rational Roots Theorem, the possible rational roots are all the factors of the constant term expressed over the factors of the leading coefficient of the polynomial function.

Based on this we conclude that,

`- ( 2)/(5)`

is a potential rational root of

`f(x) = 25 {x}^(4) - 7 {x}^(2) + x + 4`

The reason is that the numerator of this rational root is a factor of 4 and the denominator is a factor of 25.