Question

division x+,quatient x^+5, remainder 1 then find the division​

Answer 1

Answer:

Let us assume the polynomial to be f(x).

When f(x) is divided by (x−1), we get the remainder as 5.

Therefore, f(1)=5

When f(x) is divided by (x−2), we get the remainder as 7.

Therefore, f(2)=7

Now, when same polynomial f(x)

is divided by (x−1)(x−2), the remainder is given by:

f(x)=q(x).(x−1)(x−2)+r(x)

When, x=1

⇒f(1)=0.(x−2)q(1)+r(1)=5

When, x=2

⇒f(2)=0.(x−1)q(2)+r(2)=7

Solving above two equations, we get remainder  r(x)=2x+3

Answer 2

thes answer was I don't know