P (x) = x^4-2x^3+kx-4 where k is an unknown integer

p (x) divided by (x-1) has a remainder of 0 what is the value of k?

Question

Marely Evans

Mathematics

11 March, 09:14

P (x) = x^4-2x^3+kx-4 where k is an unknown integer

p (x) divided by (x-1) has a remainder of 0 what is the value of k?

+1

Answers (1)

Know the Answer?

Morgan Romero · Answer 1

k = 5.

Step-by-step explanation:

By the Factor Theorem if p (x) is divisible by x - 1 then p (1) = 0. So:

1^4 - 2*1^3 + k*1 - 4 = 0

1 - 2 + k - 4 = 0

k = 4 - 1 + 2

k = 5 (answer).

P (x) = x^4-2x^3+kx-4 where k is an unknown integerp (x) divided by (x-1) has a remainder of 0 what is the value of k?

P (x) = x^4-2x^3+kx-4 where k is an unknown integer

p (x) divided by (x-1) has a remainder of 0 what is the value of k?