answer:
To add and simplify the polynomials (-7x³ + 8x² + x + 3) + (x¹ - 2x³ - 7x² + 3), we need to combine like terms.
First, let's rearrange the terms in descending order of exponents:
-7x³ + 8x² + x + 3 + x¹ - 2x³ - 7x² + 3
Now, let's combine like terms:
(-7x³ - 2x³) + (8x² - 7x²) + (x¹ + x) + (3 + 3)
Simplifying each group of like terms:
-9x³ + x² + 2x + 6
So, the sum of the polynomials (-7x³ + 8x² + x + 3) + (x¹ - 2x³ - 7x² + 3) is -9x³ + x² + 2x + 6.
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