Question 105100
{{{6x^2-7x-3}}}---so, this causes you problem?

Please read my lesson, "Factoring trinomials: SHORTCUT!!!" firat then go back to this page.

By the quadratic formula,

{{{x=(7+-sqrt(7^2-4*6*(-3)))/(2*6)}}}
{{{x=(7+-sqrt(49+72))/(12)}}}
{{{x=(7+-sqrt(121))/(12)}}}
{{{x=(7+ 11)/(12)}}} or {{{x=(7-11)/(12)}}}
{{{x=18/12}}} or {{{x=-4/12}}}
{{{x=3/2}}} or {{{x=-1/3}}}

If {{{x=3/2}}},
{{{2x-3=0}}}
If {{{x=-1/3}}}.
{{{3x+1=0}}}

Thus,
{{{6x^2-7x-3=(2x-3)(3x+1)}}}


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HyperBrain!