Answer:
Step-by-step explanation: 1. distribute
distribute the x into (3x-5) -> 3x*x=3x^2 and x*-5=-5x. you will get
3x^2-5x+3(3x-5)
now distribute the 3 into the other (3x-5) -> 3*3x=9x and 3*-5=-15. you will get
3x^2-5x+9x-15
2. Combine like terms
3x^2-5x+9x-15 can be simplified to 3x^2+4x-15 by combining -5x and 9x.
3. Factor (there are many strategies use the one easiest for you)
In this case no number can be taken out to simplify the equation so set up your answerer as (3x ) (x ). you can do this because your first term will have to be 3x^2 and the only multiples are 3 and 1.
By using your 3rd term (-15) you can get the possible numbers after the x's by its multiples 5*3 and 15*1
Using the middle term (4x) find what multiplies to -15 (only one number can be negative) and is able to add up to 4 while one number is multiplied by 3 because of the 3x ( -5*3=15 and 3*3-5 -> 9-5=4)
plug your numbers in (3x-5) (x+3)
feel free to ask any questions!