Let `p(x)` be a quadratic polynomial suchthat `p(0) = 1`. If `p(x)` leaves remainder 4 when divided by `x-1` and it leaves remainder 6 when divided by `x+1`; then

If n leaves a remainder 1 when divided by 2 then n^(3) leaves a remainder of _____________when divided by 2

Let p(x) be a quadratic polynomial with constant term 1. Suppose p(x) when divided by x-1 leaves remainder 2 and when divided by x+1 leaves remainder 4. Then the sum of the roots of p(x)=0 is

Let p(x) be a quadratic polynomial with constant term 1 . Suppose p(x) when divided by x-1 leaves remiander 2 and when divided by x+1 leaves remainder 4 . Then the sum of the roots of p (x) = 0 is -

Let a!=0 and p(x) be a polynomial of degree greater than 2. If p(x) leaves reminders a and a when divided respectively, by +a and x-a , the remainder when p(x) is divided by x^2-a^2 is a. 2x b. -2x c. x d. x

Let a!=0 andp (x) be a polynomial of degree greater than 2. If p(x) leaves reminders aanda when divided respectively,by x+ aandx -a, the remainder when p(x) is divided by x^(2)-a^(2) is 2x b.-2x c.x d.x

24 P Jeaves remainder 1 if it is divided by 3 and leaves remainder 2, if it is divided by 5. Find the value of P.

Let a ne 0 and p(x ) be a polynomial of degree greater than 2. If P(x ) leaves remainder a and -a when divided respectively by x+a and x-a then the remainder when p(X ) is divided by x^2 -a^2 is

Let a!=0 and p(x) be a polynomial of degree greater than 2. If p(x) leaves remainders a and - a when divided respectively, by x+a and x-a , the remainder when p(x) is divided by x^2-a^2 is (a) 2x (b) -2x (c) x (d) -x