Question

Tina is finding the quotient of (15x^2+12x^2-9x) / 3x=-5x+4-3/x. Is she correct? If not, what changes should be made?

Answer 1

Tina's computation contains a mistake. The correct computation for (15x^2+12x^2-9x) / 3x is 5x + 4x - 3.

Step-by-step explanation:

I believe there is a misunderstanding in Tina's computation. When finding the quotient of an expression, we must divide each term by the divider. Here's the correct procedure:

1. Step 1: Take the equation (15x^2+12x^2-9x) / 3x.
2. Step 2:Individual term division should be as follows: 15x^2 / 3x + 12x^2 / 3x - 9x / 3x.
3. Step 3: Simplify each term to: 5x + 4x - 3.

The correct quotient for the expression (15x^2+12x^2-9x) / 3x is actually 5x + 4x - 3, not -5x+4-3/x.

Learn more about Dividing Polynomials

Answer 2

To calculate for the quotient when the first mathematical expression (15x² + 12x² - 9x) is divided by the second one (3x), Tina should have opted to simplify first the first expression into 27x² - 9x. Dividing each of the terms by the second expression will yield an answer of,
quotient = 9x - 3