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use reminder theorem
The remainder when P(x) is divided by (x - a) = f(a)

so here you need to find P(-5)

i tried plugging in -5, but i kept getting numbers that weren't in the answer choices

(P(x) is your polynomial)

oh maybe the choices are all wrong
i'll see what i get

okay thank you

i get 14

f(-5) = -125 - 150 - (42*-5) + 79

thats one of the answer choices! and i was doing +150 idk why lol oops

can you help me with one more

ok

well the y-intercept occurs when x = 0
so find f(0) and you get that one

okay, is the end behavior down?

hold on

and i got -36 for the y-intercept

right

yay

So set it equal to 0?

yes

as the last number is 36 we could try 2,3 and 6 to see if they are roots

Can there be more than one answer when you do that tho

f(2) = 8 - 44 + 72 - 36 = 0
yes x=2 is one x-intercept

i think they all work

yes they do
thats is pure luck!!!!

lol

I think the end behavior is down because it hits x at 3 points

normally i would divide the polynomial by x - 2 and try to factor the quotient

f(7) = 20 f(8) = 60
so end behaivour is increasing

so up? lol

yes

yay! thank you so much!

i'll draw the graph on my calculator to confirm

yep it looks somthing like
|dw:1438439995445:dw|

yayy