Question

What are all of the rational zeros of the function g(x) = x^4- x^3+ 4x^2- 4x?

Answer 1

Yo sup??

We can solve this questions by trying option verification.

We observe that 0 is common among all the options so 0 has to be a zero of the function.

when x=1

g(1)=1-1+4-4=0

Therefore 1 is also a zero of the function.

Since 1 is not there is option 2 and 3, hence our answer is either option 1 or 4

when x=2

g(2)=16-8+16-8=0

Therefore 2 is also a zero of the function.

Hence the correct answer is option D ie 0,1,2

Hope this helps.