SOLUTION: How do you factor 4x^2 + 9x + 2 NOTE: the ^2 is a exponent, not sure how else to write them here.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do you factor 4x^2 + 9x + 2 NOTE: the ^2 is a exponent, not sure how else to write them here.      Log On


   

Question 531151: How do you factor 4x^2 + 9x + 2
NOTE: the ^2 is a exponent, not sure how else to write them here.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+4x%5E2+%2B+9x+%2B+2+
Use quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+a+=+4+
+b+=+9+
+c+=+2+
x+=+%28-9+%2B-+sqrt%28+9%5E2-4%2A4%2A2+%29%29%2F%282%2A4%29+
x+=+%28+-9+%2B-+sqrt%28+81+-+32+%29%29+%2F+8+
x+=+%28+-9+%2B-+sqrt%28+49+%29%29+%2F+8+
x+=+%28+-9+%2B+7%29+%2F+8+
+x+=+-2%2F8+
+x+=+-1%2F4+
and
x+=+%28+-9+-+7%29+%2F+8+
+x+=+-2+
The factors are:
+%28+x+%2B+1%2F4+%29%2A%28+x+%2B+2+%29+=+4x%5E2+%2B+9x+%2B+2+