Let P(x)=x2+bx+c be a quadratic polynomial with real coefficients such that 1∫0P(x)dx=1 and P(x) leaves remainder 5 when it is divided by (x−2). Then the value of 9(b+c) is equal to :

Let P(x)=x2+bx+c be a quadratic polynomial with real coefficients such

1.	Let P(x)=x2+bx+c be a quadratic polynomial with real coefficients such that 1∫0P(x)dx=1 and P(x) leaves remainder 5 when it is divided by (x−2). Then the value of 9(b+c) is equal to :
Answer» Let $P (x) = x^{2} + b x + c$ be a quadratic polynomial with real coefficients such that $1 \int 0 P (x) d x = 1$ and $P (x)$ leaves remainder $5$ when it is divided by $(x - 2) .$ Then the value of $9 (b + c)$ is equal to :