i need practice problems for the lesson zeros of polynomial funcitons

Here are some practice problems on finding the zeros of polynomial functions:

### Practice Problems:

1. **Quadratic Polynomial:**
   Find the zeros of the polynomial function:  
   \( f(x) = x^2 - 5x + 6 \).

2. **Cubic Polynomial:**
   Find all the zeros of the polynomial function:  
   \( f(x) = x^3 - 4x^2 + x + 6 \).

3. **Quartic Polynomial:**
   Determine the zeros of the following polynomial:  
   \( f(x) = 2x^4 - 3x^3 - 11x^2 + 6x + 9 \).

4. **Factorization and Zeros:**
   Given \( f(x) = 3x^3 + 9x^2 - 30x \), factorize the polynomial and find its zeros.

5. **Complex Zeros:**
   Find the zeros of the polynomial function, including any complex zeros:  
   \( f(x) = x^4 + 2x^3 + 5x^2 + 8x + 10 \).

### Tip:
When finding the zeros of a polynomial, remember to check if the polynomial can be factored first. This can simplify the process significantly.

Would you like detailed solutions for any of these problems, or do you have any questions?

Explore practice problems on finding zeros of polynomial functions, including quadratic, cubic, and quartic polynomials. Learn how to apply the quadratic formula, cubic formula, and factorization techniques. Suitable for high school students.

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