Simplify (15x² - 24x + 9) ÷ (3x - 3) = ?

Solution:

Given (15x² - 24x + 9) ÷ (3x - 3)

Let us divide the polynomials using the polynomial long dvision.

3x - 3) 15x² - 24x + 9 ( 5x - 8/3
           15x² - 15x
       ---------------------
                   -8x + 9
                   -8x + 8
                 -------------
                            1

Dividend = divisor (quotient) + remainder

(15x² - 24x + 9) = 3x - 3(5x - 8/3) + 1

(15x² - 24x + 9) - 1 / 3x - 3 = (5x - 8/3)

Simplified expression is (5x - 8/3)

Simplify (15x² - 24x + 9) ÷ (3x - 3) = ?

Summary:

The expression (15x² - 24x + 9) ÷ (3x - 3) simplified as (5x - 8/3).