Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. If p - 1 is a factor of p^4 + p^2 + p - k, the value of k is

Answer 1

the answer is 3

Explanation:

i got it right

Answer 2

The value of k is 3.

Explanation:

consider the provided expression.

It is given that p - 1 is the factor of the expression
`p^4+p^2+p-k`

If p - 1 is the factor of the expression that means the if we put p = 1, the remainder becomes zero.

Thus, substitute the value of p = 1 in the provided equation.

`(1)^4+(1)^2+(1)-k=0`

`1 + 1 + 1 - k = 0`

`3 - k = 0`

`- k =-3`

`k = 3`

Hence, the value of k is 3.