Question

f(x+2)) is a factor of f(x)=x³+kx²+4x+12 then find the value of k​

Answer 1

Answer:

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Answer 2

Answer:

Given,

f(x+2) is a factor of f(x)=x³+kx²+4x+12

therefore,

f(-2)= 0

Substituting x=-2 in f(x),

f(-2)=(-2)³+k(-2)²+4(-2)+12

= -8+k.4-8+12

= 4k-16+12

= 4k-4

Now,

4k-4 =0

=> 4(k-1)=0

=> k-1 =0

=> k=1

therefore,. k= 1

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