A polynomial `p (x)` leaves remainders 75 and 15 , respectively , when divided by `(x-1)and (x+2)`. Then the remainder when `f(x)` is divided by `(x-1)(x+2)` is _______.

A polynomial f(x) leaves remainders 10 and 14 respectively when divided by (x-3) and (x-5) Find the remainder when f(x) is divided by (x-3) and (x-5)

The remainders of a polynomial f(x) in x are 10 and 15 respectively when f (x) is divided by (x -3) and (x-4) . Find the remaider when f (x) is divided by (x-3) (x -4).

If the remainders of the polynomial f(x) when divided by x-1, x-2 are 2, 5 then the remainder of f(x) when divided by (x-1)(x-2) is

If the remainders of the polynomial f(x) when divided by x-1, x-2 are 2, 5 then the remainder of f(x) when divided by (x-1)(x-2) is

If the remainders of the polynomial f(x) when divided by x-1, x-2 are 2, 5 then the remainder of f(x) when divided by (x-1)(x-2) is

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) .

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)

A quadratic polynomial in x leaves remainders 4 , 4 and 0 , respectively when divided by (x-1),(x-2) and (x-3) . Find the quadratic polynomial.

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) .