November 25, 2015

Homework Help: POLYNOMIALS

Posted by Aoi on Monday, June 15, 2009 at 10:19am.

The cubic polynomial f(x) is such that the coefficient of x^3 is -1. and the roots of the equation f(x) = 0 are 1, 2 and k. Given that f(x)has a remainder of 8 when divided by (x-3), find the value of k.

okay, this is what i did:

-x^3 + bx^2 + cx + d = (x-1)(x-2)(x-k)
-x^3 + bx^2 +cx +d = (x-1)(x^2-kx-2x+2k)
and im stuck...

is my interpretation of the question correct? when the questions states that the coefficient of x^3 is -1, it means the polynomial is something like -x^3 + ax^2 + bx + c right???

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