Mathematics - Definite Integration Question with Solution | TestHub

Let$P\left(x\right)=x^2+bx+c$be a quadratic polynomial with real coefficients such that${\int }_0^{1}P\left(x\right)dx=1$and$P\left(x\right)$leaves remainder$5$when it is divided by$\left(x-2\right)$Then the value of$9\left(b+c\right)$is equal to: