Question

Divide p(x)=x^4-13x^3+29x^2+12x-30 by q(x)=x+1 also find what should be subtracted from p(x) so that it is divisible by q(x)

Answer 1

it may helps..........

Answer 2

If any integer n=aq+rn=aq+r for a,q,r∈za,q,r∈z then aadivides n−rn−r with a quotient qq and remainder 0.0. Observation is that if we subtract the remainder from the dividend then it is exactly divisible by the divisor.

The above statement is true for polynomials as well.

You can obtain the remainder by long division method as shown below.



Now if you subtract the remainder from the given dividend polynomial, the result is exactly divisible by the divisor.

You can see the result below: