Given f(x)=3x^2+9x+k and the remainder when f(x) is divided by x+1 is -14, then what is the value of k?
1 answer:
Answer:
The value of k is -8.
Step-by-step explanation:
Given;
f(x) = 3x² + 9x + k
factor of the function = x + 1
remainder of the function = -14
let x + 1 = 0
x = -1
f(-1) = 3(-1)² + 9(-1) + k = -14
3(-1)² + 9(-1) + k = -14
3 - 9 + k = -14
-6 + k = -14
k = -14 + 6
k = -8
Therefore, the value of k is -8.
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