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

2 Answers

5 votes

Answer:

-4(3n + 5)

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).

User Hugo Zapata
by
8.2k points
4 votes

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!

User Psykhi
by
8.5k points

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