Verified Answer :

RedRicin

Suppose we have the expression \(6m^2+7m-5\). 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:

\(6m^2+10m-3m-5\)

Now we factor.

\(2m(3m+5)-1(3m+5)\)

\(\boxed{(2m-1)(3m+5)}\)

The answer is D. 3m+5.

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