Question

when a polynomial 2x3+ 3x2 + ax + b is divided by (x-2) leave remainder 2 and (x+2) leaves remainder -2 find a and b​

Answer 1

Answer:

ANSWER

First, prove it for the base case ofn=1: 

11(1+2)+12(2+1)

= 113+123

= 1331+1728

= 133(10)+1+1728

=133(10)+1729

=133(10)+133(13)

=133(26)

Assume it is true for a natural number k. Prove it is true for the number k+1: 

True for k: 

11(k+2)+12(2k+1)=133(m), where m is an integer. 

Fork+1:

11k+1+2+122(k+1)+1

= 11k+2×11+122k+2+1

=11(k+2)×11+12(2k+1)×122

=11×11k+2+(11+133)×122k+1

=11(11k+2+122k+1)+133×122k+1

=11(133m)+133×122k+1

=