Question

prove or disprove the statement,
every polynomial of odd degree n has at least one real root.

Answer 1

true enough.

Answer 2

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.

Answer 3

tanks

Answer 4

welcome