Roots

How many real roots does function f(x)=xⁿ+px+q can have for n even and n odd(>3)

6 Answers

Differentiating,
f'(x)=nx^n-1+p

It has only one real root for n even and at the most two roots for n(>3) even

One more way of thinking could be graph..

graph of x^n and graph of -px-q

see how many ponts they could intersect ;)

Thank u bhaiyyas.

NISHANT SIR, PLS GIVE THE GRAPHS FOR xⁿ for both even and odd.

The intersection with a straight line...

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