Question

The polynomial function f(x)= 5x^5 + 16/5x -3 is graphed below. Which is a potential rational root of f(x) at point P ?

Answer 1

Answer: (A) The root at point P may be .

Step-by-step explanation:edge2022

Answer 2

ANSWER

The root at point P may be
`(3)/(5)`

Step-by-step explanation

The given function is


`f(x) = 5 {x}^(5) + (16)/(5) x - 3`

The potential rational roots are all factors of -3 expressed over all factors of 5.

These are:


`\pm (1)/(5) , \pm (3)/(5)`

Since the root of f(x) at P is closer to 1 that zero and it is positive , that potential may be
`(3)/(5)`