Final answer:
To multiply the polynomials 2x(-2x-3), distribute 2x over each term in the parentheses, resulting in -4x² - 6x.
Step-by-step explanation:
To multiply the polynomials 2x(-2x-3), we distribute the term 2x over each of the terms inside the parentheses. Here’s how you do it step-by-step:
- Multiply 2x by -2x. According to our rule, when two negative numbers multiply, the answer has a positive sign. So, 2x multiplied by -2x equals -4x².
- Then, multiply 2x by -3. When numbers with opposite signs multiply, the answer has a negative sign. Here, 2x times -3 equals -6x.
Combining these two products, we have -4x² - 6x, which is the result of the given polynomial multiplication.