Use synthetic division to divide (5x^3+18x^2+7x-6) divided by (x+3). Please show steps if you can so I can try to understand whats going on :)

Question

anonymous · Answer

I got 5x^2+3x-2, would that be the final answer or do I need to do more?

anonymous · Answer

You need to change it to a polynomial 
$$5x^ {2} + 3x - 2$$ Can be changed to
(5x-2) (x+1)

whpalmer4 · Answer

Let's check your answer:

$$(x+3)(5x^2+3x-2) = 5x^3+3x^2-2x+15x^2+9x-6 $$$$= 5x^3+18x^2+7x-6$$

That's all you need to do to divide it, I don't see any requirement that you need to factor the quotient.

anonymous · Answer

then 5x-2=0 and x+1=0
so x=2/5,-1

anonymous · Answer

that should be the final answer

whpalmer4 · Answer

@QWERTYCraft where are you getting this notion that she's supposed to find the roots?

anonymous · Answer

Most teacher usually ask for them, i'm just trying to show it, just in case they ask for it

anonymous · Answer

thank you both!