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The question asks to match provided functions to graphed functions that have the same zeros. Here's the breakdown:

### Functions:
1. \( f(x) = x^3 - 3x^2 + x - 3 \)
2. \( m(x) = x^4 - x^3 + x^2 - x \)
3. \( l(x) = x^2 - 4x + 4 \)
4. \( k(x) = x + 3 \)
5. \( h(x) = -4x - 8 \)
6. \( g(x) = x^2 - 5x + 4 \)

### Given Graphs:
- **Graph A** is likely a cubic or quartic function based on its shape, resembling \( x^3 \)-type behavior.
- **Graph B** shows multiple intersections with the x-axis, likely a polynomial with multiple real roots.

#### To match functions to graphs:
We need to factor the functions and find their roots (zeros). I'll walk through one function as an example:

### 1. \( f(x) = x^3 - 3x^2 + x - 3 \)
   - Try factoring by grouping:
     \( f(x) = (x^3 - 3x^2) + (x - 3) \)
     Factor each part: 
     \( = x^2(x - 3) + 1(x - 3) = (x - 3)(x^2 + 1) \)
   - Zeros: \( x = 3 \)

For the other functions, follow similar steps to find their zeros and match them to the appropriate graph.

Would you like me to factor and match each function with its graph?

Match each function to a graphed function with the same zero(s). Given functions include f(x) = x^3 - 3x^2 + x - 3, m(x) = x^4 - x^3 + x^2 - x, l(x) = x^2 - 4x + 4, k(x) = x + 3, h(x) = -4x - 8, g(x) = x^2 - 5x + 4.

Explore how to match polynomial functions to their corresponding graphs based on their zeros. This problem involves key algebraic concepts such as factoring, graphing polynomial functions, and understanding the Fundamental Theorem of Algebra. Suitable for high school students in Grades 9-12.

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