What is the factor of - 12n - 20 (50pts!)

Steps to factor:

-12n - 20

~Rewrite - 12n

-4 * 3n

~Rewrite - 20

-4 * 5

~Put together

-4 * 3n + - 4 * 5

~Factor out - 4

-4 (3n + 5)

Best of Luck!

-4 (3n + 5)

Step-by-step explanation:

We want to factor the expression:

-12n - 20

Look at the two terms, which are - 12n and - 20. Obviously, they don't share an "n", but they do share another number.

Notice that - 12 can be written as the product of - 4 and 3: - 12 = - 4 * 3. Similarly, - 20 can be written as the product of - 4 and 5: - 20 = - 4 * 5. Since 3 and 5 are prime numbers, we know that - 4 is the biggest factor that - 12 and - 20 share. So, let's factor that out of the expression:

-12n - 20 = - 4 * [ (-12n/-4) + (-20/-4) ] = - 4 * (3n + 5)

So, the factored form of this expression is - 4 (3n + 5).