Final answer:
To multiply the polynomials (-x-2)(x²)-9x+3), distribute the terms inside the parentheses to each term in the other polynomial and simplify. The simplified form of (-x-2)(x²)-9x+3) is -x³ + 9x² + 20x - 6.
Step-by-step explanation:
To multiply the polynomials (-x-2)(x²)-9x+3), we need to distribute the terms inside the parentheses to each term in the other polynomial. Here are the steps:
Step 1: Distribute -x to each term in the second polynomial: -x(x²) - x(-9x) - x(3)
Step 2: Distribute -2 to each term in the second polynomial: -2(x²) - 2(-9x) - 2(3)
Step 3: Simplify each term: -x³ + 9x² + 2x + 18x - 6
Step 4: Combine like terms: -x³ + 9x² + 20x - 6
Therefore, the simplified form of (-x-2)(x²)-9x+3) is -x³ + 9x² + 20x - 6.