Question

Use long division to divide and use the result to factor the dividend completely

(5x^2-17x-12)/(x-4)

Answer 1

5x + 3

x - 4 | 5x² - 17x - 12

- (5x² - 20x)

-------------------

3x - 12

- (3x - 12)

------------

0

5x² - 17x - 12 = (x - 4)(5x + 3)