## anonymous one year ago which of the following, if any, are polynomial functions?

1. anonymous

2. anonymous

yes second one is polynomial .

3. anonymous

not the first one because of the variable in the denominator

4. anonymous

you got that? no to the first yes to the second

5. anonymous

i dont think all polynomials are functions

6. anonymous

yes i understand that.. and just for educational purposes.. what makes something a polynomial function

7. anonymous

you have only positive integer exponents

8. anonymous

$p(x)=a_nx^n+a_{n+1}x^{n-1}+...+a_1x+a_0$

9. anonymous

yep satellite explained it

10. anonymous

alright and how would you determine the leading coefficient of a polynomial

11. anonymous

it is the coefficient of the term of highest degree (larges exponent)

12. anonymous

if the polynomial is written in standard form (from highest power to lowest) then it is the first coefficient you see

13. anonymous

$f(x)=-4x^2+3x^2-5x+2$ leading coefficient is $$-4$$ for example

14. anonymous

okay how about the polynomial: P(x)=3(x-1)(x+3)(2x-5)^2 would it be 3??

15. anonymous

no

16. anonymous

if you multiply out (in your head) you will get $$3\times4=12$$

17. anonymous

satellite the leading coefficient of -4 x^2 +3x^@-5x will be -1 ?

18. anonymous

or if you multiply out for real you get $12 x^4-36 x^3-81 x^2+330 x-225$but you don't need to do that to see the 12

19. anonymous

20. anonymous

i don't understand it, look at what you wrote

21. anonymous

@chlobohoe do you see how i got the 12?

22. anonymous

yes i saw! cause you multiplied everything out. ima bout to post another question wait up<3

23. anonymous

will it be 1 ? http://prntscr.com/7dpfkw

24. anonymous

i mean -1

25. anonymous