Which of the following expressions below is a factor of 6m squared + 7m - 5?
a. 2m + 1
b. m + 5
c. 2m - 5
d. 3m + 5

Suppose we have the expression . How do you factor it?

When we have a quadratic equation ax² + bx + c, we want to find two numbers that mulitply to equal ac and add to equal b.

In this case, we want to find two numbers that multiply to equal -30 and add to equal 7. Think about the factors of -30. We're going to need one negative number and one positive to multiply and get a negative one.

In this case, they are 10 and -3.

Now we must split the middle of the equation like this:



Now we factor.





The answer is D. 3m+5.