Final Answer:
1. Zeros: $x = 0$ (multiplicity 2), $x = 1$ (multiplicity 1), $x = -5$ (multiplicity 1); Effect: graph touches x-axis at $x=0$, crosses at $x=1$ and $x=-5$.
2. Zeros: $x = 0$ (mult. 1), $x = -\frac{1}{3}$ (mult. 1), $x = -7$ (mult. 1); Effect: crosses x-axis at all three zeros.
3. Zeros: $x = 5$ (mult. 2), $x = -7$ (mult. 1); Effect: touches at $x=5$, crosses at $x=-7$.
4. Zeros: $x = 0$ (mult. 1), $x = \frac{3}{2}$ (mult. 1), $x = -\frac{4}{3}$ (mult. 1); Effect: crosses x-axis at all three zeros.
5. Zeros: $x = 0$ (mult. 1), $x = 8$ (mult. 2); Effect: crosses at $x=0$, touches at $x=8$.
6. Zeros: $x = 0$ (mult. 1), $x = -\frac{5}{2}$ (mult. 1); Effect: crosses x-axis at both zeros.
7. $f(x) = (x + 1)(x - 2)(x - 7)$
Parent Tip: Review the logic above to help your child master the concept of 11th grade math problems worksheet.