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.

Given ax^(2)+bx+c is a quadratic polynomial in x and leaves remainders 6 , 11 and 18 , respectively, when divided by (x+1), (x+2)and(x+3) . Find the value of a + b + c.

A quadratic polynomial in x leaves remainders as 4 and 7 respectively when divided by (x+1) and (x-2) . Also it is exactly divisible by (x-1) . Find the quadratic polynomial.

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)

Find the quadratic polynomial when divided by x, x -1 and x -2 leaves remainders 1, 2 and 9 respectively

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).

Let P(x) be a polynomial, which when divided by x-3 and x-5 leaves remainders 10 and 6 respectively. If the polynomial is divided by (x-3)(x-5) then the remainder is-

Let P(x) be a polynomial, which when divided by x-3 and x-5 leaves remainders 10 and 6 respectively. If the polynomial is divided by (x-3) (x-5) then the remainder is

Assertion(A): The sum and product of the zeroes of a quadratic polynomial are (-1)/4 and 1/4 respectively. Then the quadratic polynomial is 4x^(2)+x+1 Reason (R):The quadratic polynomial whose sum and product of zeroes are given is x^(2) -(Sum of zeroes) x+ product of zeroes.