Answer:
5x+6
Step-by-step explanation:
Given : 5x² - 14x + 24
Since (x - 4) is one of the factors
So, by making the long division:
5x + 6
-------------------------------
x - 4 || 5x² - 14x + 24
5x² - 20x
-------------------------------
+ 6x + 24
+ 6x + 24
---------------------------------
00 + 00
∴ [tex]\frac{5x^2-14x+24}{x-4} =5x+6[/tex]
∴ (5x2 - 14x + 24) = (x - 4) (5x + 6)
