Question

Factor 2x^4-62x^2+60x

I get: 2x(x^3-31x+30)
2x(x-30)(x^2-1)
2x(x-30)(x-1)(x+1)

But that's wrong.
It should be (I think):
2x(x-1)(x-5)(x+6)

Please show me where I went wrong.

Answer 1

2x(x-30)(x^2-1) how did you get that from the previous line? Not possible.

2x^4-62x^2+60x
Ok, looking for roots.
by inspection, x=0, x=1 are roots
so, I see 5 as a root, and finally, -6
(2x(x+6)(x-5)(x-1))

Answer 2

Thanks!