Explain, in complete sentences, how you would completely factor 15x2 – 25x – 60 and check your factors for accuracy

Question

anonymous · Answer

use decomposition whenever you want to factor a quadratic with a non-zero coefficient (in this case your coefficient is 15, the first number in the formula)

anonymous · Answer

in order to do this just follow these steps:
--multiply the first and the last -> (15)(-60)= -900
--find 2 numbers that add up to the middle term ( -25) and make up - 900 -> in this case, (-45) and 20 then replace these 2 numbers for your (-25) variable -> 15x$$^{2}$$-45x + 20x -60 , note that that -45 + 20 = -25 and thus u have not changed the equation

anonymous · Answer

$$15x ^{2}-45x+20x-60$$

anonymous · Answer

from here just separate the equation into 2 equations with brackets, $$(15x ^{2} - 45) + (20x - 60)$$ and then factor the numbers out to get a simplified version of the formula -> $$15x(x-3) + 20(x-3)$$  ... note that you have common (x-3) as a common factor in there so you can then just factor the two out. -> $$(15x+20)(x-3)$$ and then go ahead and reduce the 15x+20 or leave it as it is and ur done

anonymous · Answer

medal me please :)

anonymous · Answer

Thanks