Question

If x^4+2x^3+8x^2+12x+18 is divided by x^2+5 and remainder is in the form of px+q, find p and q

Answer 1

solution

(x³-3x+8)

(x²+5)√(x∧4+2x³+8x²+12x+18)

x∧4+5x³

-3x³+8x²+12x+18

-3x³-15x

8x²+27x+18

8x²+40

27x-22

the for by compering with px+q

⇒p=27 and q=-22