SOLUTION: How to factor Trinomials of the form ax^2+bx+c

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Question 260329: How to factor Trinomials of the form ax^2+bx+c
Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
To factor trinomials of this form:
step 1 - factor out the a from the first two terms to get

step 2 - take 1/2 of the middle term and square it. We get

step 3 - place a blank slot after c and we get

this blank slot is waiting for a number.
step 4 - multiply (b/2a)^2 by a and put that answer in the blank slot to get

step 5 rewrite the trinomial as a binomial squared as

we have our factored form for x.

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