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## anonymous 5 years ago prove or disprove the statement, every polynomial of odd degree n has at least one real root.

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1. anonymous

true enough.

2. anonymous

if leading coefficient is positive than as $x-> \infty$ so does the polynomial, and as \[x->-\infty\\ it does as well. since polynomials are continuous (no jumps or breaks) it has to cross the x-axis somewhere.

3. anonymous

tanks

4. anonymous

welcome

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