Use the factor Theorem to factor the polynomial completely.

Question

anonymous · Answer

Given that 2 is a solution; 2x^3+x^2-13x+6=0

anonymous · Answer

How would I go about solving this?

nnesha · Answer

i guess it's p over q method 
$$\huge\rm \frac{ p }{ q }= \frac{ constant  }{ leading ~coefficient }$$
find factors of leading coefficient and factors of constant term

nnesha · Answer

like leading coefficient is 2 and 
factors 2 and 1 you will write it as  $$\frac{ constant  }{ leading ~coefficinet  }=\frac{ ? }{ \pm 2, \pm 1 }$$

nnesha · Answer

gtg sorry :(

anonymous · Answer

I'm still confused. The example problem uses synthetic division in the beginning...

anonymous · Answer

attachment

triciaal · Answer

given that 2 is a solution then (x-2) is a factor.
 (x-2) is a factor means when you divide the polynomial by the factor there is no remainder.
Divide by (x-2) then factor the quadratic

triciaal · Answer

you already have the polynomial factored what do you need help with?

anonymous · Answer

The screenshot is an example problem, I was just confused as to what the question was asking.

triciaal · Answer

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