Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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

Sagot :

RedRicin
Suppose we have the expression [tex]6m^2+7m-5[/tex]. 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:

[tex]6m^2+10m-3m-5[/tex]

Now we factor.

[tex]2m(3m+5)-1(3m+5)[/tex]

[tex]\boxed{(2m-1)(3m+5)}[/tex]

The answer is D. 3m+5.
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.