Question

if X + 1 is a factor of x power 4 minus 5 x cube + 5 x square + 5 x minus k then the value of k is​

Answer 1

Answer:

k=6

Step-by-step explanation:

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Answer 2

Answer:

The value of k is 6.

Step-by-step explanation:

Given equation is : x⁴ - 5x³ + 5x² + 5x - k

We know that x + 1 is a factor of the given polynomial.

Therefore, x + 1 will satisfy the given equation.

=> x = -1 will satisfy the given equation.

Therefore, on putting x = -1 , the equation gives 0

=> (-1)⁴ - 5(-1)³ + 5(-1)² + 5(-1) - k = 0

=> 1 - 5(-1) + 5*1 + 5(-1) - k = 0

=> 1 + 5 + 5 - 5 - k = 0

=> 6 - k = 0

=> k = 6

Therefore, the value of k is 6.