Sure, let's go through how to add these two polynomials step by step:
1. Write down the two polynomials:
7x² - 5x + 3
2x² + 3x - 1
2. Align them vertically by their like terms:
7x² - 5x + 3
+ 2x² + 3x - 1
3. Combine each pair of like terms:
(7x² + 2x²) + (-5x + 3x) + (3 - 1)
4. Solve each of these:
9x² - 2x + 2
As you can see, when you combine the polynomials as demonstrated, the result is 9x² - 2x + 2, which is the answer.