Let P(x)=x^{2}+b x+c be a quadratic polynomial with real coefficients, such that \int_{0}^{1} 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 [16 Mar 2021 Shift 2]

JEE Main 16 March 2021 Shift 2 Solved Paper

Section: Mathematics

Question : 77 of 90

Marks: +1, -0

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

∫

P(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

[16 Mar 2021 Shift 2]

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