Let $\mathrm{P}(\mathrm{x})=\mathrm{x}^2+\mathrm{bx}+\mathrm{c}$ be a quadratic polynomial with real coefficients such that $=\int_0^1 P(x) d x=1$ and $\mathrm{P}(\mathrm{x})$ leaves remainder 5 when it is divided by ( x 2). Then the value of $9(b+c)$ is equal to:
