## shelby1290 one year ago State the missing factor 4n^2+8n-60=(?)(n+5)

1. anonymous

what times $$n$$ is $$4n^2$$?

2. shelby1290

4n?

3. anonymous

yes

4. anonymous

and what times $$5$$ gives $$-60$$?

5. shelby1290

-12

6. anonymous

ok put them together are you are done

7. shelby1290

(4n-12)

8. anonymous

yup

9. shelby1290

at the back of my textbook the answer is 4(n-3)

10. anonymous

not really factored completely that would be $4(n-3)(n+5)$

11. anonymous

yeah because the terms of $$4n-12$$ have a common factor of 4

12. shelby1290

so you divide (4n-12) by 4 to get 4(n-3) ?

13. anonymous

that is not "division" that is factoring, aka the distributive property $4\times x-4\times 3=4(x-3)$

14. shelby1290

ohh okay