Zeros and Multiplicities

Zeros & Multiplicities

Given the function, Use the slider on the right hand side of the graph below to test different values for 'a' and 'b' as the multiplicities for each zero in the function. Try to make observations about how the function behaves for even multiplicities in contrast to odd multiplicities.

Drawing Conclusions: Even Multiplicities

A zero of a polynomial with even multiplicity will ____________________ at the zero.

Check all that apply

Drawing Conclusions: Odd Multiplicities

A zero of a polynomial with odd multiplicity will ____________________ at the zero.

Check all that apply

Nice Job!

Nice Job!