# Let f be a polynomial function such that for all  Then : Option: 1 $f\left ( 2 \right )+{f}' \left ( 2 \right ) =28$ Option: 7 ${f}''\left ( 2 \right )-{f}'\left ( 2 \right )=0$ Option: 13 ${f}''\left ( 2 \right )-f\left ( 2 \right )=4$ Option: 19 $f\left ( 2 \right )-{f}'\left ( 2 \right )+{f\left }''\left ( 2 \right )=10$

is given a polynomial function

Let having degree

becomes degree

becomes  degree

Now it is given that

If we consider only degree

Assume

we get

and

Now Comparing coefficient of

Now Comparing coefficient of

Here a=0 or b=0

a cannot be zero so b=0

Now Comparing coefficient of

c=0

Similarly d=0

Hence

and

Option 2 is correct

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