if the polynomial x4+2x3+8x2+12x+18 is divided by another polynomial x2+5,the reminder comes out to be p(x)+q.find the values of p and q?

Using synthetic divison we find that,

(x⁴+2x³+8x²+12x+18) = (x²+5)(x²+2x+3) + 2x + 3

where 2x + 3 is the remainder,

Hence p = 2 and q = 3.

Regards,

Team,

TopperLearning.