Question

if polynomial p(x) is divided by a polynomial (2-x²),the quotient and remainder is (-x²-2) and (-5x+10) respectively,p(x) is​

Answer 1

Answer:

since , p(x)= g(x) .q(x)+ r(x)

= (2-x²).(-x²-2)+(-5x+10)

= -{(2)²- (x²)²} -5x+10

= - ( 4 -x⁴) -5x+10

= x⁴-4- 5x+ 10

= x⁴-5x+6