SOLUTION: Find K Such That F(x)=x^3-kx^2+kx+2 Has The Factor X-2. I ...

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SOLUTION: Find k such that f(x)=x^3-kx^2+kx+2 has the factor x-2. I have no idea what this is and my final is due in a few hours! help me please! I know I have to divide by x-2 but I don't Algebra -> Polynomials-and-rational-expressions -> SOLUTION: Find k such that f(x)=x^3-kx^2+kx+2 has the factor x-2. I have no idea what this is and my final is due in a few hours! help me please! I know I have to divide by x-2 but I don't Log On
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Question 820318: Find k such that f(x)=x^3-kx^2+kx+2 has the factor x-2. I have no idea what this is and my final is due in a few hours! help me please! I know I have to divide by x-2 but I don't know how to do so or what to do after that. Answer by jsmallt9(3758) About Me (Show Source): You can put this solution on YOUR website! f%28x%29=x%5E3-kx%5E2%2Bkx%2B2 First of all, this is a polynomial, not a rational function (which has x in denominator(s)). Please post your problems in a relevant category. And yes, you will divide. Synthetic division is easiest: 2 | 1 -k k 2 --- 2 4-2k 8-2k -------------------- 1 2-k 4-k 10-2k Since x-2 is supposed to be a factor, then we should get a remainder of zero when we divide. The remainder we got, 10-2k, must then be zero: 10-2k = 0 Adding 2k: 10 = 2k Dividing by 2: 5 = k This is the value for k that makes x-2 a factor of f(x).

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