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leading coefficient of a polynomial

 Oct 30, 2016
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Expand the following:
16×14×9 (x-3) (5-x)

16×14 = 224:
224×9 (x-3) (5-x)

224×9 = 2016:
2016 (x-3) (5-x)

(x-3) (5-x) = (x) (5) + (x) (-x) + (-3) (5) + (-3) (-x) = 5 x-x^2-15+3 x = -x^2+8 x-15:
2016 -x^2+8 x-15

2016 (-x^2+8 x-15) = 2016 (-x^2)+2016 (8 x)+2016 (-15):
-2016 x^2+2016 8 x-15 2016

2016 (-15) = -30240:
-2016 x^2+2016 8 x+-30240

2016×8 = 16128:
Answer: |-2016 x^2+16128 x-30240

 Oct 30, 2016

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