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Let `f(x)` be a polynomial of degree 5 such that `f(|x|)=0` has 8 real distinct , Then number of real roots of `f(x)=0` is ________. |
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Answer» Correct Answer - 5 Since `f(|x|)=0` has 8 roots `implies f(x)=0` has 4 real positive roots but since `f(x)` is polynomial of degree 5 `implies` fifth root is also real. ` :. ` Number of real roots of `f(x)=0` is 5 |
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