Let P(x) = x² + bx + c be a quadratic polynomial with real coefficients such that ∫₀¹ 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:

Integral Calculus: JEE Main 2021 Mathematics question

JEE Main 2021 · 16 Mar, Evening shift · Q3401

JEE Main 202116 Mar, Evening shiftMathematicsEasyIntegral Calculus369× since 2002

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

\int_0^1 {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 :

JEE Main 2021 · 16 Mar, Evening shift · Q3401

JEE Main 202116 Mar, Evening shiftMathematicsEasyIntegral Calculus369× since 2002

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

\int_0^1 {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 :