Question

Use the distributive property to find the product of x (2x + 4x² - 5 - 3x). Write your answer in standard form.

Answer 1

To find the product of x (2x + 4x² - 5 - 3x) using the distributive property, distribute x to each term inside the parentheses and then combine like terms. The final answer in standard form is 4x³ - x² - 9x.

Step-by-step explanation:

To find the product of x (2x + 4x² - 5 - 3x) using the distributive property, we need to distribute the x to each term inside the parentheses. This means multiplying x by each term individually and then combining like terms. Let's break it down:

1. x * 2x = 2x²
2. x * 4x² = 4x³
3. x * -5 = -5x
4. x * -3x = -3x²

Now, we can combine the like terms:

2x² + 4x³ - 5x - 3x²

Combine the x² terms: 2x² - 3x² = -x²

Combine the x terms: -5x - 4x = -9x

So the final answer, written in standard form, is: 4x³ - x² - 9x