Question

5x(3x^2+2x-3) how do you simplify the polynomial?

Answer 1

To simplify the polynomial 5x(3x^2+2x-3), multiply 5x by each term inside the parentheses, resulting in 15x^3 + 10x^2 - 15x.

Step-by-step explanation:

To simplify the polynomial 5x(3x^2+2x-3), you need to apply the distributive property, which involves multiplying the term outside the parentheses by each term inside the parentheses. Here's the step-by-step process:

1. Multiply 5x by 3x^2 to get 15x^3.
2. Multiply 5x by 2x to get 10x^2.
3. Multiply 5x by -3 to get -15x.
4. Combine these results to get the simplified polynomial: 15x^3 + 10x^2 - 15x.

Therefore, the simplified form is 15x^3 + 10x^2 - 15x.