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To find the zeros of the polynomial function \( f(x) = 2x^3 - 2x^2 - 7x + 3 \), we need to determine the values of \( x \) for which \( f(x) = 0 \). Here are the steps to solve this:

1. **Graphing Calculator Approach**:
   Use a graphing calculator or online tool to plot \( f(x) = 2x^3 - 2x^2 - 7x + 3 \). Observe where the graph intersects the x-axis, as these intersection points represent the zeros of the function.

2. **Finding Zeros Manually (if required)**:
   While graphing is recommended, you can also attempt to find approximate values by methods such as the Rational Root Theorem or synthetic division, followed by numerical methods if needed (e.g., Newton's Method).

3. **Using an Online Calculator**:
   Alternatively, you can use an online graphing calculator like Desmos or Wolfram Alpha, which can provide exact values or approximations for the zeros.

Upon solving, you would obtain the values for \( x \) that make \( f(x) = 0 \), and then round them to the nearest hundredth as instructed.

Would you like me to calculate these values step-by-step or confirm specific zeros? 

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### Related Questions to Explore:
1. How do you solve a cubic equation if you don’t have a graphing calculator?
2. What is the Rational Root Theorem and how does it apply to finding zeros?
3. How can Newton's Method be used to approximate zeros of a function?
4. How do you determine if a polynomial function has complex zeros?
5. What role do multiplicities play in the zeros of polynomial functions?

### Tip:
When using a graphing calculator, adjusting the view of the graph (zooming in/out) can help identify zeros more accurately, especially if they are close to each other.

Use the ALEKS graphing calculator to find all the zeros of the polynomial function. f(x) = 2x^3 - 2x^2 - 7x + 3. Round to the nearest hundredth. If there is more than one answer, separate them with commas.

Learn how to find all the zeros of the polynomial function f(x) = 2x^3 - 2x^2 - 7x + 3 using a graphing calculator. This problem involves key concepts in polynomial functions and is suitable for students in Grades 10-12.

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