SOLUTION: We are supposed to factor completely. The problem is: 4xcubed plus 12xsquared minus 8x equals I have it factored to 4x(xsquared + 3x - 2) I know it has to factor down to someth

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Question 51316: We are supposed to factor completely. The problem is:
4xcubed plus 12xsquared minus 8x equals
I have it factored to 4x(xsquared + 3x - 2) I know it has to factor down to something like, 4x(x+ )(x- )I'm stuck..... Any help would so be appreciated! Thank you

Found 2 solutions by checkley71, tutorcecilia:
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
4X^3+12X^2+8X=0 OR 4X(X^2+3X+2=0 OR 4X=0 OR X=0 & (X+2)(X+1)=0 OR X+2=0 OR
X=-2 & X+1=0 OR X=-1
PROOF 4*0^3+12*0^2+8*0=0 OR 0+0+0=0 OR 0=0
4(-2)^3+12(-2^2)+8*-2=0 OR 4*-8+12*4-16=0 OR -32+48-16=0 OR 0=0
4(-1)^3+12(-1^2)+8*-1=0 OR 4*-1+12*1-8=0 OR -4+12-8=0 OR 0=0













Answer by tutorcecilia(2152)   (Show Source): You can put this solution on YOUR website!
4x(x^2 + 3x - 2)[Factor using the quadratic formula]
.

.

.

.

.
= .5615
or
= -3.562
.
So, the "x"'s are"
4x=0 or x=0
x=.5615
x=-3.652
Factoring the equation than gives:
(4x)(x-.5615)(x+3.652)
Multiply the factors out and you should get the original equation.

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