x+3 completely divides x^3+5x^2-k, the value of k
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Answer:
k = 18
Step-by-step explanation:
Since x + 3 divides completely,
Substitute x = - 3 in the given expression.
f(-3) = (-3)^3 + 5(-3)^2 - k = 0
= - 27 + 45 - k = 0
= 18 - k = 0
Hence, k = 18
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