Let `x` be an integer and `x^2 + x + 1` is divisible by 3. When is `x` divided by 3. it leaves remainder

If x^2 + ax + b , when divided by x + 3, leaves a remainder of - 1 and x^2 + bx + a , when divided by x - 3, leaves a remainder of 39, then a + b=?

If 2x^(2) + ax + b , when divide by x - 3, leaves a remainder of 31 and x^(2) + bx + a , when divided by x-3, leaves a remainder of 24, then a+b equals

Is a two-digit integer 'x' dividible by 12? I. When 'x' is divided by 5, the remainder is 2. II. When 'x' is divided by 3, the remainder is 1.

If x^2 + ax + b when divided by x + 3 leaves a remainder of 22 and x^2 + bx+ a when divided by x - 3, leaves a remainder of 24, then a + b=?

Let x and y be positive integers such that xgey The expressions 3x + 2y and 2x + 3y when divided by 5 leave remainders 2 and 3 respectively. What is the remainder when (x-y) is divided by 5?

Find the remainder when x^3 + 3x^2 + 3x + 1 is divided by x+1

Let f(x) = ax^(3) + 5x^(2) - bx + 1 . If f(x) when divide by 2x + 1 leaves 5 as remainder, and f'(x) is divisible by 3x - 1 , then

A polynomial P(x) when divided by (x-1) leaves a remainder of 3 when divided by (x-3) leaves a remainder of 7 and when divided by (x^(2)-4x+3) leaves a remainder f(x) .Which of the following is (are) not true? (A) f(3) = 1

Let f(x) = ax^(3) + 5x^(2) - bx + 1 . If f(x) when divied by 2x + 1 leaves 5 as remainder, and f'(x) is divisible by 3x - 1, then