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.
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-> 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.
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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(52795) (Show Source):
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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.
