# If a polynomial is of a degree of n how many real zeros can it have?

##### 1 Answer

Feb 13, 2016

See explanation...

#### Explanation:

Assuming the polynomial is non-constant and has Real coefficients, it can have up to

If

Since any non-Real Complex zeros will occur in Complex conjugate pairs the possible number of Real roots counting multiplicity is an even number less than

For example, counting multiplicity, a polynomial of degree