PROVING BY REMAINDER THEOREM:
X^{4}-6X^{3}+16X^{2}-15X+10 = (x^{2}-2x-k)(q(x)) +(x+a)
[any number=divisor x quotient + remainder] {q(x) is a function of x which i am considering as the quotient}
X^{4}-6X^{3}+16X^{2}-15X+10-x-a = (x^{2}-2x-k)(q(x))
X^{4}-6X^{3}+16X^{2}-16X+10= (x^{2}-2x-k)(q(x))+a
When x=2,
16-48+64-32+10=(4- 4-k)(q(x))+a
-22 = -k(q(x))+a
When x= -k,
solve it and divide the equations the q(x) will be eliminated and solve the rest coz i am still figuring this out
GOOD LUCK