Answer:
(3x-2)(x+5)
Step-by-step explanation:
First, set up an X to solve for potential factors. The two factors should add up to the middle value (13) and multiply to equal to the combined value of the first and third values (-30 (3 x -10)).
Find which two numbers can add to equal 13 and multiply to equal -30: -2 and 15.
Split the middle value into those two values like so:
3x^2 + 15x - 2x - 10
Now, factor out 3x from the first two values and -2 from the last two, like so:
3x(x + 5) - 2(x + 5)
Now, because both 3x and -2 are multiplied by the same factor, you can split the above expression into the new, factored expression:
(3x - 2)(x + 5)
