When polynomial f(x) is divided `(x- 1)` and `(x -2)` it leaves remainder 5 and 7 respectively. What is the remainder when f(x) is divided by `(x-1)(x-2)`?

If a polynomial f (x) is divided by (x - 3) and (x - 4) it leaves remainders as 7 and 12 respectively, then find the remainder when f (x) is divided by (x-3)(x-4) .

If a polynomial f (x) is divided by (x - 3) and (x - 4) it leaves remainders as 7 and 12 respectively, then find the remainder when f (x) is divided by (x-3)(x-4) .

If a polynomial f (x) is divided by (x - 3) and (x - 4) it leaves remainders as 7 and 12 respectively, then find the remainder when f (x) is divided by (x-3)(x-4)

A polynomial f(x) when divided by (x-5)and (x-7) leaves remainders 6 and 16 , respectively. Find the remainder when f(x) is divided by (x-5)(x-7) .

When a polynomial f(x) is divisible by x-3 and x+6, the respective remainders are 7 and 22. What is the remainder when f(x) is divided by (x-3)(x+6) ?

When a polynomial f(x) is divisible by x-3 and x+6, the respective remainders are 7 and 22. What is the remainder when f(x) is divided by (x-3)(x+6) ?

If f(x) = x^4 - 2 x^3 + 3 x^2 - ax +b a polynomial such that when it is divided by (x-1) and (x+1); the remainders are 5 and 19 respectively. Determine the remainder when f(x) is divided by (x-2).

If p(x)=x^4-3x^2-ax+b is a polynomial such that when it is divided by x-1 and x+1, the remainders are 5 and 19 respectively. Then find the remainder when p(x) is divided by (x-2)

The polynomials f(x)=x^4-2x^3+3x^2-ax+b when divided by (x-1) and (x+1) leaves remainder 5 and 19 respectively. Find the value of a and b hence, find the remainder when f(x) is divided by (x-2)

If f(x)=x^(4)-2x^(3)+3x^(2)-ax+b is a polynomial such that when1it is divided by x-1 and x+1, remainders are 5 and 19 respectively.Determine the remainder when f(x) is divided by x-1.