SOLUTION: {{{f(x)=3x^3-8x^2+5x-k}}} In the polynomial function above, k is a constant. If (x-2) is a factor of f(x). What is the value of k.

Question 1041072:
In the polynomial function above, k is a constant. If (x-2) is a factor of f(x). What is the value of k.
Answer by ikleyn(52802) (Show Source): You can put this solution on YOUR website!
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In the polynomial function above, k is a constant. If (x-2) is a factor of f(x). What is the value of k.
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The fact that (x-2) divides f(x) means that x=2 is the root of the polynomial,
based on the Remainder theorem ( see the lesson Divisibility of polynomial f(x) by binomial x-a ).

In other words,  = .

From this equality, k =  = 3*8 - 8*4 + 10 = 2.

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