Question

the possible ration roots of g(x)=2x^4+5x^3-x^2+5x-1 are +or - 1/2 and +or - 1. List the possible factors of g(x)

Answer 1

do i just plug in -1,1,-1/2,and 1/2 into x?

Answer 2

example when x = 1 is a root it means (x-1) is a factor

Answer 3

so its (x+1)(x-1)(x+1/2)(x-1/2)?

Answer 4

yes

Answer 5

do i need to factor it at all?

Answer 6

to check when you expand you should have g(x)

Answer 7

x -1/2 can be written as 2x -1

Answer 8

i didnt get f(x) when i factored..