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`        let p and q be two real numbers with p is greater than zero show that cubic x cube + bx + q is exactly one real root`
9 months ago

Arun
22053 Points
```							 Let f(x)= x^3+px+qThen f'(x)= 3x^2+p which is always greater than zero. This means that f is an increasing function. Now lim x tends to minus infinity f(x)= - infinity and lim x tends to infinity f(x)= infinity. So there is one and only one real root. RegardsArun
```
9 months ago
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### Course Features

• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions