Doubt from quadratic equations

#1

ques 1

Doubt from Functions
#2

Hint: Look at P(x)=\dfrac{ax^4}{4}+\dfrac{bx^3}{3}+\dfrac{cx^2}{2}+dx

Note that P'(x) equals the given polynomial.

#3

For any polynomial f(x) there will be atleast one root of f'(x) between two roots of f(x).

#4

The answer is option b. (-4,0).

Here the solution is:

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#5

i think you wrote something wrong fx should have 2 roots and f'x should have 1 root..