SOLUTION: Find the number of possible values of p so that {{{ 6x^2+px+12 }}} can be factored as the product of two integral first degree polynomials.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the number of possible values of p so that {{{ 6x^2+px+12 }}} can be factored as the product of two integral first degree polynomials.      Log On


   

Question 1104951: Find the number of possible values of p so that +6x%5E2%2Bpx%2B12+ can be factored as the product of two integral first degree polynomials.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
6%28x%5E2%2B%28p%2F6%29x%2B2%29


Just the quadratic factor
%28x%2B1%29%28x%2B2%29
This takes care of the leading term and the constant term in the quadratic factor.

x%5E2%2B3x%2B2=x%5E2%2Bpx%2F6%2B2

This means that 3=p%2F6
highlight%28p=18%29