Question

If x+1 is a factor of kx^4+4x^3-12x^2+4k .find value of k

Answer 1

Answer:

k = 16 / 5

Hope this helps.

Step-by-step explanation:

Factor Theorem says (x-a) is a factor <=> f(a) = 0.

So (x+1) is a factor

=> ( x - (-1) ) is a factor

=> f(-1) = 0

=> k(-1)⁴ + 4(-1)³ - 12(-1)² + 4k = 0

=> k - 4 - 12 + 4k = 0

=> 5k = 16

=> k = 16 / 5

Answer 2

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pls refer to the attachment

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