SOLUTION: How do i factor the polynomial: 3x^2-31x+80

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do i factor the polynomial: 3x^2-31x+80      Log On


   

Question 590864: How do i factor the polynomial: 3x^2-31x+80
Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
(x-5)*(3x-16)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+3x%5E2+-+31x+%2B+80+
Use the quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+a+=+3+
+b+=+-31+
+c+=+80+
x+=+%28-%28-31%29+%2B-+sqrt%28+%28-31%29%5E2+-+4%2A3%2A80+%29%29+%2F+%282%2A3%29+
x+=+%28+31+%2B-+sqrt%28+961+-+960+%29%29+%2F+6+
x+=+%28+31+%2B-+sqrt%28+1+%29%29+%2F+6+
+x+=+%28+31+%2B+1+%29+%2F+6+
+x+=+32%2F6+
+x+=+16%2F3+
and
+x+=+%28+31+-+1+%29+%2F+6+
+x+=+30+%2F+6+
+x+=+5+
-----------
+x+-+16%2F3+=+0+
+3x+-+16+=+0+
+x+-+5+=+0+
+%28+3x+-+16+%29%2A%28+x+-+5+%29+=+3x%5E2+-+31x+%2B+80+