For any quadratic polynomial f(x), it is true that f(x) = f(a)+f'(a)(x-a)+{{f''(a)}/2!}(x-a)^2, where a is any real number. If {3x^2+4x+7}/(x-2)^3 = {A/{(x-2)^3}+{B/(x-2)^2}+{C/{(x-2)}} and g(x) = 3x^2+4x+7 then A+B+C =

Correct Answer is : g(2)+g′(2)+g′′(2)2!

TS EAMCET 4-Aug-2021 Shift 1 Question Paper

Section: Mathematics

Question : 19 of 160

Marks: +1, -0

For any quadratic polynomial f(x), it is true that f(x) = f(a)+f′(a)(x−a)+

f′′(a)

(x−a)2, where a is any real number. If

3x2+4x+7

(x−2)3

(x−2)2

(x−2)

and g(x) = 3x2+4x+7 then A+B+C =

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