Question

divide (x² - 5x + 6) ÷ (x - 3)​

Answer 1

(x - 2)

Step By Step Explaination :-

$\frac{ {x}^{2} - 5x + 6 }{x - 3} \\ = )lets \: factorise \: the \: numberator \: \\ by \: mid \: split \: term \\ = ) \frac{ {x}^{2} - 3x - 2x+ 6 }{x - 3} \\ = ) \frac{x(x - 3) - 2(x - 3)}{x - 3} \\ = ) \frac{(x - 3)(x - 2)}{x - 3} \\ = )x - 2$

Hope it helped