Question

please help first answer will get brainliest!

Find the number that we can place in the blank, so that the resulting expression can be factored as the product of two linear factors.
\[3mn - 6m + 5n + ___

Answer 1

Answer: -10

Step-by-step explanation: From the start of the equation, we know it must factor to something like (3m + x)(n+y), because the first term must be 3mn. Now, for the next term to be -6n, y must be -2, and for the third term to be 5n, x must be positive 5. So we end up with (3m+5)(n-2). If we factor this out, we get 3mn-6m+5n-10, meaning the final term is -10.