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Mathematics
Factor by grouping.
x 3 x 2 15 x + 15 x^(3)-x^(2)-15 x+15
x 3 x 2 15 x + 15 = x^(3)-x^(2)-15 x+15=
(Factor completely.)
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To factor by grouping, we can pair the terms:
x 3 x 2 15 x + 15 = ( x 3 x 2 ) + ( 15 x + 15 ) = x 2 ( x 1 ) 15 ( x 1 ) = ( x 2 15 ) ( x 1 ) {:[x^(3)-x^(2)-15 x+15=(x^(3)-x^(2))+(-15 x+15)],[],[=x^(2)(x-1)-15(x-1)],[],[=(x^(2)-15)(x-1)]:}
So the factored form of the polynomial by grouping is ( x 2 15 ) ( x 1 ) (x^(2)-15)(x-1).
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