If the zeros are -7, 5, and -3, then the factors are (x+7), (x-5), (x+3). We have to multiply all those together to get a third degree polynomial. Multiplying out the first 2, we get
![(x+7)(x-5)=x^2+2x-35](https://img.qammunity.org/2019/formulas/mathematics/high-school/po1ep3jb46mf0f8kqvzey30euleorz8diz.png)
. Now we'll multiply in that last factor:
![(x^2+2x-35)(x+3)=x^3+5x^2-29x-105](https://img.qammunity.org/2019/formulas/mathematics/high-school/h2ywaa04ynx510z23b1lou2s4g6qe8vual.png)
. There's your third degree polynomial!!