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Learn MoreTry this beautiful problem from TOMATO Objective no. 258 based on Real Roots of a Cubic Polynomial.

**Problem: Real Roots of a Cubic Polynomial **

Let a,b,c be distinct real numbers. Then the number of real solution of is

(A) **1**

(B)** 2**

(C) **3**

(D) depends on a,b,c

**Solution: Ans: (A)**

Let

But it is not possible a quadratic equation has three roots.so, it implies that * f'(x)* has no real roots.But

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