Let f(x) be a polynomial of degree 5 such that fx=0 has 8 real distinct. Then number of real roots of f(x) = 0 is _______
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answer is 5.
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Detailed Solution
Since fx=0 has 8 roots⇒ fx =0 has 4 real positive roots but since fx is polynomial of degree 5⇒ fifth root is also real.∴ Number of real roots of fx=0 is 5