anonymous one year ago divide 20x^4 + 15x^2/ 5x^2

1. Nnesha

find gcf first what is common factor of 20x^4 +15x^2 ?

2. anonymous

im not sure.. i have no idea what to do..

3. Nnesha

find common factor of 20 and 15

4. anonymous

15?

5. Nnesha

for variable its very easy lowest degree of common variable would be the common factor !

6. anonymous

x? wait im confused.

7. Nnesha

no can you 15 isn't a factor of 20

8. anonymous

5 ?

9. Nnesha

okay here is an example 6z^6 + 5 z^5 both terms have z variable now smallest degree of z is 5 so z^5 is my common factor |dw:1438720747533:dw|

10. Nnesha

yep right 5 is common factor what about variable x ?

11. anonymous

so x^5 ?

12. Nnesha

hmm that is an exxample look at your question $\huge\rm \frac{ 20\color{reD}{x^4} +15\color{red}{x^2} }{ 5x^2 }$ what is smallest degree of variable x ?

13. anonymous

2?

14. Nnesha

yes right so 5x^2 is common factor!

15. Nnesha

take it oout $\huge\rm \frac{ \color{reD}{5x^2}( ?????)\color{red}{}) }{ 5x^2 }$ what should go in the parentheses in other words divide 20x^4+15x^2 by common factor \$\huge\rm \frac{ \frac{20x^4 }{ 5x^2 } +\frac{ 15x^2 }{ 5x^2 }}{ 5x^2 }$

16. Nnesha

sorry for late reply i was trying to change the color but ugh latex >.<

17. Nnesha

|dw:1438721488685:dw|

18. Nnesha

when you take out 5x^2 from 20x^4 what you have left ?

19. muscrat123

@Nnesha i need u 2 help! whenever ur done