<Li> The polynomial 3 − 5 x + 2 x 5 − 7 x 9 (\ displaystyle 3 - 5x + 2x ^ (5) - 7x ^ (9)) is a nonic polynomial </Li> <Li> The polynomial (y − 3) (2 y + 6) (− 4 y − 21) (\ displaystyle (y - 3) (2y + 6) (- 4y - 21)) is a cubic polynomial </Li> <Li> The polynomial (3 z 8 + z 5 − 4 z 2 + 6) + (− 3 z 8 + 8 z 4 + 2 z 3 + 14 z) (\ displaystyle (3z ^ (8) + z ^ (5) - 4z ^ (2) + 6) + (- 3z ^ (8) + 8z ^ (4) + 2z ^ (3) + 14z)) is a quintic polynomial (as the z 8 (\ displaystyle z ^ (8)) are cancelled out) </Li> <P> The canonical forms of the three examples above are: </P>

What is the highest degree of a polynomial