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

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Definite Integration

JEE Main 2021 · 16 Mar, Evening shift · Q3401

MathematicsEasy210×since 2002Q3401

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

MathematicsEasy210×since 2002Q3401

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 :