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A polynomial of degree 5,we have got two real roots a,b.How many real roots it must have in total?

A polynomial of degree 5,we have got two real roots a,b.How many real roots it must have in total?

Grade:11

1 Answers

sudhir pal
askIITians Faculty 26 Points
10 years ago
a polynomial of odd degree always have odd no of roots(real).
In this problem given that degree is 5 and we already know 2 roots (real). so it can have 3 or 5 real roots depending on other situation. since no more information is given we cannot predict exact no. of roots.
Thanks & Regards
Sudhir,
askIITians Faculty
Qualification.
IIT Delhi

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