SOLUTION: Determine the values of a, b and c so that the following equation become identities (ax+b)(x+c)=3x^2+5x+2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Determine the values of a, b and c so that the following equation become identities (ax+b)(x+c)=3x^2+5x+2      Log On


   

Question 995877: Determine the values of a, b and c so that the following equation become identities
(ax+b)(x+c)=3x^2+5x+2
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Try to factorize the left member and read corresponding parts.
Taking a form (3x__)(x__) and constant terms 1 and 2 in their two possible arrangements, you find:
%283x%2B2%29%28x%2B1%29=3x%5E2%2B5x%2B2

system%28a=3%2Cb=2%2Cc=1%29