Question

VWhich is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?

Answer 1

this is what I got for the factors: (2x-7) and (3x^3-2x+5). 

Answer 2

2x-7 is a factor

Explanation:

Given is a polynomial

`f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35`

By rational roots theorem the factors can be 7/2 or -7/2

Use remainder theorem

f(7/2) =0

Hence 2x-7 is a factor