Question

the value of k,if(x-1) is a factor of 4x³+3x²+4x+k​

Answer 1

Answer:

-11.

Step-by-step explanation:

Given,

(x-1) is a factor of 4x³+3x²+4x+k​.

x-1 = 0.

x = 1.

f(1) = 4(1)³+3(1)²+4(1)+k = 0.

4+3+4+k = 0.

11+k = 0.

k = -11.

Therefore,The Value Of k is -11.

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Answer 2

Answer:

k=-11

Step-by-step explanation:

x-1=0

x=1

4x^3+3x^2+4x+k=0

put the value of x

4×1^3+3×1^2+4×1+k=0

4×1+3×1+4+k=0

4+3+4+k=0

11+k=0

k=-11