Use division to prove that x=11 is a real zero of y=-x^3+12x^2-39x+308
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1 Answer

If we use synthetic division we get:

11 | -1..12 -39..308

.......-1 -11..11 -308

.......-1....1 -28 | 0

The remainder is zero, so 11 is a zero for the cubic and the quotient is -x^2+x-28.

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