How do you factor the trinomial #3x²+5x-2#?

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How do you factor the trinomial #3x²+5x-2#?

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Answer 1 · 2018-03-13T00:58:06

#(3x-1)(x+2)#

Explanation:

It is easy to check that the expression vanishes for #x=-2# - which means that #x+2# is a factor. We can exploit this to rewrite the expression in the following manner :

#3x^2+5x-2 =3x^2+6x-x-2 = 3x(x+2)-1(x+2) = (3x-1)(x+2)#

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How do you factor the trinomial #3x²+5x-2#?

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