`100xx17=1700`,isn't it? So, when 1700 is divided by 100 will get quotient 11.
What if 1718 is divided by 100?
Quotient 17 and remainder 18 will get. Similarly product of the polynomial x+1 and x+2 ix2+ 3 x + 2 `. So 1 added to the polynomial ` x 2 + 3 x + 2 `is divided by x+1 will get the quotient x+2 and remainder 1.
a) What is the quotient if 1718 is divided by17?
b) What number should be added to ` x 2 + 3 x + 2 ` gives the polynomial ` x 2 + 3 x `?
c) What should be the remainder when ` x 2 + 3 x `is divided by x+1?
d) What polynomial should be added to ` x 2 + 3 x + 2 ` will get ` x 2 + 4 x + 3 `?
e) What is the quotient when ` x 2 + 4 x + 3 `is divided by x+1?

Explanation

i),ii),vi) are polynomials.