Factor the trinomial x3-2x2-15x Write each factor as a polynomial in descending order?

Xxx-2xx-15x x(xx-2x-15) Factor (long): axx+bx+c a=1 b=-2 c=-15 Multiply a and c: 1*-15=-15 Find multiples of ac that add up to be (d,e ie de=ac, d+e=b): 15=-1*3*5 15 3*-5 3*5 Rewrite axx+bx+c into axx+dx+ex+c: x(xx+3x-5x-15) Factor sets of terms (ie axx+dx, and ex+c): x(xx+3x-5x-15) x(x(x+3)-5(x+3)).

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