Question

If p-1 is a factor of p^4+p^2+p-k the value of k is

Answer 1

p=1
p^4+p^2+p-k=0

1+1+1-k=0 k=3

Answer 2

The value of k is 3 if p - 1 is a factor of $p^4+p^2+p-k$

How to determine the value of k?

The expression is given as:

$p^4+p^2+p-k$

The factor is given as:

p - 1

Set the factor to 0

p - 1 = 0

Add  to both sides

p = 1

Substitute 1 for p in the expression and equate it to 0

$1^4+1^2+1-k = 0$

Evaluate the exponents

1+1+1-k = 0

Evaluate the sum

3-k = 0

Add k to both sides

k = 3

Hence, the value of k is 3 if p - 1 is a factor of $p^4+p^2+p-k$

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