What are the zeros of the polynomial function: f(x) = x3 – 5x2 + 6x ?

0, –3, 2

0, 3, –2

0, –3, –2

0, 3, 2

Question

What are the zeros of the polynomial function: f(x) = x3 – 5x2 + 6x ?

0, –3, 2

0, 3, –2

0, –3, –2

0, 3, 2

lgbasallote · Answer

first factor out x$$\implies x(x^2 -5x + 6)$$
now factor out the trinomial
$$\implies x(x-3)(x-2)$$
do you know how to get the roots now?

anonymous · Answer

yes but i don't know which answer i got is correct?

lgbasallote · Answer

which answer did you get?

anonymous · Answer

the four listed underneath the question i asked

hero · Answer

@lggy, you forgot to set f(x) = 0 first.

lgbasallote · Answer

i meant which one of it

lgbasallote · Answer

yeah @Hero seems i did...

anonymous · Answer

A.)0, –3, 2

B.)0, 3, –2

C.)0, –3, –2

D.)0, 3, 2

lgbasallote · Answer

i said which one is YOUR answer...not repeat the choices

anonymous · Answer

all of them, i just dont know which one

lgbasallote · Answer

right... so you know it's either A, B, C or D right?

anonymous · Answer

I can't tell if you're trolling or being serious...

lgbasallote · Answer

anyway... if you have something like $$x(x+2)(x-5)(x+4)$$
then the roots will be 0, -2, 5, -5

so what do you think will be the roots of $$x(x-3)(x-2)$$

lgbasallote · Answer

typo...that should be "then the roots will be 0,-2,5,-4