SOLUTION: Factor completey 3x^2+23x-36

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor completey 3x^2+23x-36      Log On


   



Question 135671: Factor completey
3x^2+23x-36

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3x^2+23x-36
(3x+4)(x-9)
===============
Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2+%2B+23x+-+36
I will use the quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
with equation in the form
ax%5E2+%2B+bx+%2B+c
a+=+3
b+=+23
c+=+-36
x+=+%28-23+%2B-+sqrt%28+23%5E2-4%2A3%2A%28-36%29+%29%29%2F%282%2A3%29+
x+=+%28-23+%2B-+sqrt%28+529+%2B+432+%29%29%2F6+
x+=+%28-23+%2B-+31%29%2F6+
x+=+4%2F3
x+=+-9
The factorization is:
%28x+-+%284%2F3%29%29%28x+%2B+9%29
If you multiply these out, you'll get the given equation