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Multiply the polynomials. Simplify (-x-2)(x²)-9x+3)

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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.

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