SOLUTION: factoring complex trinomials: 10x^2+19x-15

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Question 1204135: factoring complex trinomials: 10x^2+19x-15
Found 3 solutions by mananth, MathLover1, ikleyn:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!

factoring complex trinomials: 10x^2+19x-15
10*-15 =-150
split 19 into two parts such that when you add the parts you get 19 and when you multiply them you get -150
+25 &-6 are the terms
10x^2 +25x-6x-15
5x(2x+5)-3(2x+5)
(2x+5)(5x-3)
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


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Answer by ikleyn(52898)   (Show Source): You can put this solution on YOUR website!
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factoring trinomial: 10x^2+19x-15
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Use the quadratic formula and find the roots of this trinomial

     =  = .


The roots are   =  =  = ,

                =  =  = .


Hence, factoring is

    10x^2 + 19x - 15 =  =  = (5x-3)*(2x+5).    ANSWER

Solved.

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On solving quadratic equations using the quadratic formula,  see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
in this site.


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