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Quadratic Equation and Inequalities question

2025 · Shift 1 · Q17

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JEE Advanced
Mathematics
Quadratic Equation and Inequalities
2025 · Shift 1 · Q17

Quadratic Equation and Inequalities question

2025 · Shift 1 · Q17

JEE AdvancedMathematicsQuadratic Equation and InequalitiesMCQ+3 / −1

Let

\mathbb{R}

denote the set of all real numbers. Let

a_i, b_i \in \mathbb{R}

for

i \in \{1, 2, 3\}

. Define the functions

f: \mathbb{R} \to \mathbb{R}

,

g: \mathbb{R} \to \mathbb{R}

, and

h: \mathbb{R} \to \mathbb{R}

by

f(x) = a_1 + 10x + a_2 x^2 + a_3 x^3 + x^4g(x) = b_1 + 3x + b_2 x^2 + b_3 x^3 + x^4h(x) = f(x + 1) - g(x + 2)

If

f(x) eq g(x)

for every

x \in \mathbb{R}

, then the coefficient of

x^3

in

h(x)

is

A
8
B
2
C
-4
D
-6

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