Question

p (x) = x⁴-3x²+kx-2, where k is an unknown integer. P (x) divided by (x-2) has a remainder of 10. what is the value of kA) -2B) 2C) 4D) -4

Answer 1

Given that,

$P(x)=x^4-3x^2+kx-2$

Also 10 is the remainder when P(x) is divided by (x - 2) .

Here the remainder is

$\begin{gathered} -2+2(k+2)=10 \\ 2k+4=12 \\ 2k=8 \\ k=4 \end{gathered}$

Therefore, the correct oprion is c