SOLUTION: hi, can i have help on this question please: for the function f(x) = x^3 - 3x^2 + kx - 6 find the value of k, given that (x-3) is a factor thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: hi, can i have help on this question please: for the function f(x) = x^3 - 3x^2 + kx - 6 find the value of k, given that (x-3) is a factor thank you      Log On


   



Question 233209: hi, can i have help on this question please:
for the function f(x) = x^3 - 3x^2 + kx - 6
find the value of k, given that (x-3) is a factor
thank you

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
for the function f(x) = x^3 - 3x^2 + kx - 6
find the value of k, given that (x-3) is a factor
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If (x-3) is a factor, the x-3 = 0 --> 3 is a zero.
Find f(3)
f(3) = 27 - 27 + 3k - 6 = 0
3k = 6
k = 2