﻿ If f (x) is a polynomial of degree 5 with real coefficients such that  has 8 real roots then f (x) = 0 has: : Kaysons Education

# If f (x) Is A Polynomial Of Degree 5 With Real Coefficients Such That  has 8 Real Roots Then f (x) = 0 Has:

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## Question

### Solution

Correct option is

5 real roots

Given that  has 8 real roots.

Since f (x) is a polynomial of degree 5, f (x) cannot have even number of real roots.

⇒ f (x) has all the five roots real in which four positive and one root is negative.

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