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3 votes
Look at picture pls help

Look at picture pls help-example-1

2 Answers

5 votes

Answer:

Solution,

since the factor of f(p) = p-1

we know, f(p)= 0

p=1 (from remainder theorem)

now,

f(p) =p^4+p^2+p-k

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

0= 1+1+1-k

0= 3-k

k=3

User Zmonteca
by
3.2k points
12 votes

Answer: k = 3

because p - 1 is a factor of the equation

=> at p = 1, p^4 + p² + p - k =0

with p =1, we have: 1 + 1 + 1 - k = 0

⇔ k = 3

Explanation:

User Jazgot
by
3.7k points