Question

I will mark brainliest Answer tis

Answer 1

Hi friend!!

The easy way to find the remainder when a polynomial is divided by a linear polynomial is by Substituting the value of 'x' for which the linear polynomial is equal to zero.

Given,

p(x)=2x⁴-kx²+5x-3k+3 is divided by x+2, we got 4 as the remainder

→x+2=0

x=-2

Now p(-2)=4

2(-2)⁴-k(-2)²+5(-2)-3k+3=4

32-4k-10-3k+3=4

25-7k=4

7k=21

k=3

I hope this will help you ;)

Answer 2

First you shold put x= -2
So,x=2
Now put the value of x in this expression= -2
2×(-2)^4-k(-2)^2+5×-2-3k+3=4

Now solve this eqation

32-4k-10-3k+3=4
25-7k=4
-7k=4-25=-21
-7k=-21
7k=21 k=3

So,the answer is 3.