Express algebraically.

Length is 3x - 4, area is 6x^(4) +9x^(2)-3x-12

2 answers

The formula for the area of a rectangle is length multiplied by width. Here, the length is 3x - 4. We need to find the width.

Let's represent the width by the variable w.

Area = length x width
Area = (3x - 4)w

We are given that the area is 6x^(4) + 9x^(2) - 3x - 12. So we can write:

6x^(4) + 9x^(2) - 3x - 12 = (3x - 4)w

To solve for w, we can divide both sides by 3x - 4:

w = (6x^(4) + 9x^(2) - 3x - 12)/(3x - 4)

Therefore, the algebraic expression for the width is (6x^(4) + 9x^(2) - 3x - 12)/(3x - 4).
Nonsense answer!

see my response further up to the same question