# Factoring Trinomials of the type ax²+bx+c

by Torrey Jones
(Pricard, Alabama)

Factor the following Trinomial

This process is the opposite of the FOIL method

I need help with this problem 2x squared + 3x + 1

### Comments for Factoring Trinomials of the type ax²+bx+c

 Apr 04, 2012 Factor 2x² + 3x + 1 by: Staff Question:by Torrey Jones (Pricard, Alabama) I need help with this problem 2x squared+3x+1Answer:ax²+bx+c= 2x² + 3x + 1= (2x + 1)(x + 1)>>> the final answer is: (2x + 1)(x + 1)There are many ways to factor a trinomial. Here is one method:Write two sets of parentheses to show the final factored form of the trinomial. (         )(         ) The first term in the original expression is 2x². It is the product of the first term in the binomials. (2x      )(x      ) The last term in the trinomial is 1. It is the product of the last terms of the binomials. In this case, 1 can only equal 1*1 or (-1)*(-1).There are only two possibilities:(2x + 1)(x + 1) or (2x - 1)(x - 1)(2x + 1)(x + 1) = 2x² + 3x + 1, correct(2x - 1)(x - 1) = x² - 3x + 1, incorrectThe final answer is: (2x + 1)(x + 1) Thanks for writing. Staff www.solving-math-problems.com