Factor completely

x 3 +2x 2 -15x
A.

x (x -3)(x +5)

B.

-3x (x +5)(x +1)

C.

x (x +5)(x +3)

D.

5x (x+1)(x -3)

i need help

Question

Factor completely

x 3 +2x 2 -15x
A.

x (x -3)(x +5)
	
B.

-3x (x +5)(x +1)
	
C.

x (x +5)(x +3)
	
D.

5x (x+1)(x -3)

i need help

zale101 · Answer

Step one: Factor out the common factor of each term
$x^3+2x^2-15x$

anonymous · Answer

oh ok i got it now
it s b

zale101 · Answer

Do you know how to factor? :)

anonymous · Answer

ooh

zale101 · Answer

I see x can be factored out in $x^3+2x^2-15x$ each term consists of x

anonymous · Answer

yes zale101

zale101 · Answer

so, $x(x^2+2x-15)$

zale101 · Answer

we are not done with factoring, you need to factor out the $x^2+2x-15$

anonymous · Answer

its between a and c by what im understanding

zale101 · Answer

$x^2+2x-15$
$x^2$=x*x
so, (x      )(x      )
Nx + Ax = +2x
N * A = -15
what two numbers (N and A) that when added you get +2 and when multiplied you get -15 ?

anonymous · Answer

-3 and  positive 5

zale101 · Answer

Yes :)

anonymous · Answer

oh now i got it
thank you for your help zale101

zale101 · Answer

Ok, no problem :)

zale101 · Answer

$x^3+2x^2+15x$

$x(x^2+2x-15)$
x(x-3)(x+5)

anonymous · Answer

sure did help by you helping me out
i did get the right answer as you