Question

The value of k for which (x+2) is a factor of (x+1)^7+(3x+k)^3 is

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Answer 1

Answer:

7

Step-by-step explanation:

$f(x)=(x+1)^7+(3x+k)^3\\\\Given\;\;f(-2)=0\\\\f(-2)=(-2+1)^7+(-6+k)^3\\\\(-6+k)^3=1\\\\k=7$

Hope it Helps

Answer 2

Answer:

7

Step-by-step explanation:

$\begin{lgathered}f(x)=(x+1)^7+(3x+k)^3\\\\Given\;\;f(-2)=0\\\\f(-2)=(-2+1)^7+(-6+k)^3\\\\(-6+k)^3=1\\\\k=7\end{lgathered}$

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