A polynomial `P(x)=x^2 + ax + b` yields a remainder 2 upon a division by `x-1` and a remainder of 1 upon division by `x-2`, then the value of `P(3)` is

A polynomial f(x) yields a remainder of 2 when divided by x+1, and a remainder of 4 when divided by x-1. If f(x) is divided by x^(2)-1 then the remainder is

Find a quadratic polynomial divisible by (2x-1) and (x+3) and which leaves remainder 12 on division by (x-1)

Given that ax^2+bc+6 leaves the remainder 1 on division by 2x+1 and 2bx^2+6x+a leaves the remainder 2 on divisible by 3x-1. find a and b.

Given that px^(2)+qx+6 leaves the remainder as 1 on division by 2x=1 and 2qx^(2)+6x+p leaves the remainder as 2 on division by 3x-1 . Find p and q .

Polynomial P(x) is divided by (x-3) , the remainder if 6.If P(x) is divided by (x^2-9) , then the remainder is g(x) . Then the value of g(2) is ___________.

p(x) be a polynomial of degree at most 5 which leaves remainder -1and 1upon division by (x-1)^(3) and (x+1)^(3) respectively,the number of real roots of P(x)=0 is

p(x) be a polynomial of degree at most 5 which leaves remainder - 1 and 1 upon division by (x-1)^3 and (x+1)^3 respectively, the number of real roots of P(x) = 0 is

p(x) be a polynomial of degree at most 5 which leaves remainder - 1 and 1 upon division by (x-1)^3 and (x+1)^3 respectively, the number of real roots of P(x) = 0 is

p(x) be a polynomial of degree at most 5 which leaves remainder - 1 and 1 upon division by (x-1)^3 and (x+1)^3 respectively, the number of real roots of P(x) = 0 is