(C) Let $f(x) = ax^2 + bx + c$.Given that $f(2) = 10$,we have $4a + 2b + c = 10$ $(i)$.Given that $f(-2) = -2$,we have $4a - 2b + c = -2$ $(ii)$.Sub

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(C) Let $f(x) = ax^2 + bx + c$.Given that $f(2) = 10$,we have $4a + 2b + c = 10$ $(i)$.Given that $f(-2) = -2$,we have $4a - 2b + c = -2$ $(ii)$.Subtracting equation $(ii)$ from equation $(i)$:$(4a + 2b + c) - (4a - 2b + c) = 10 - (-2)$$4b = 12$$b = 3$.The coefficient of $x$ in $f(x)$ is $b$,which is $3$.

Class 11 Mathematics 4-2.Quadratic Equations and Inequations Solution of quadratic equations and Nature of roots

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Let $f(x)$ be a quadratic polynomial with $f(2)=10$ and $f(-2)=-2$. Then,the coefficient of $x$ in $f(x)$ is

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A
$1$
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$2$
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$3$
D
$4$

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