Answer:
(8x + 5) (3x-2)
Step-by-step explanation:
Given : 24x² - x - 10
Let 24x² - x - 10 equals zero (i,e = 0)
Find the roots of 24x² - x - 10 = 0 using your favorite method.
For example using the quadratic formula (see attached) where
a = 24, b = -1, c = -10
you will end up with
x = -5/8 or x = 2/3
For x = -5/8 (rearrange to make equality = 0)
x = -5/8 (multiply both sides by 9)
8x = -5 (add 5 to both sides)
(8x + 5) = 0 ---> hence one of the factors is (8x + 5)
For x = 2/3 (rearrange to make equality = 0)
x = 2/3 (multiply both sides by 3)
3x = 2 (subtract 2 from both sides)
(3x -2) = 0 ---> hence one of the factors is (3x -2)
