1. Simplify and write in standard form. Then, classify

the polynomial by degree and number of terms

[5x³ + 3x² - 7x + 10] + [3x³ - x² + 4x - 1]

2. Simplify and write in standard form. Then, classify
the polynomial by degree and number of terms.

[9w - 4w² + 10] + [8w² + 7 + 5w]

3. Simplify the product.

-3x [x² + 3x - 1]

2 answers

Oh, my goodness! Are you actually putting questions here that you expect our math tutors to do for you? And are these questions in all 3 of your posts so far parts of a test??

No, no, no -- the way this works is that YOU include what YOU THINK, including where you get stuck in solving each one. Then a math tutor can help you.
That said, I can get you started.
Collect terms with like powers. For example,

[5x³ + 3x² - 7x + 10] + [3x³ - x² + 4x - 1]
= 5x³+3x³ + 3x²-x² -7x+4x + 10-1
now just add up the coefficients for like powers and arrange the powers in descending order. (They already are)
Terms are separated by + and - signs
The degree is the highest power.

Go for it. You can also use sites like google and wolframalpha.com to verify your work.