anonymous
  • anonymous
What is the remainder when (x3 − 6x2 − 42x + 79) is divided by (x + 5)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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welshfella
  • welshfella
use reminder theorem The remainder when P(x) is divided by (x - a) = f(a)
welshfella
  • welshfella
so here you need to find P(-5)
anonymous
  • anonymous
i tried plugging in -5, but i kept getting numbers that weren't in the answer choices

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More answers

welshfella
  • welshfella
(P(x) is your polynomial)
welshfella
  • welshfella
oh maybe the choices are all wrong i'll see what i get
anonymous
  • anonymous
okay thank you
welshfella
  • welshfella
i get 14
welshfella
  • welshfella
f(-5) = -125 - 150 - (42*-5) + 79
anonymous
  • anonymous
thats one of the answer choices! and i was doing +150 idk why lol oops
anonymous
  • anonymous
can you help me with one more
welshfella
  • welshfella
ok
anonymous
  • anonymous
Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
welshfella
  • welshfella
well the y-intercept occurs when x = 0 so find f(0) and you get that one
anonymous
  • anonymous
okay, is the end behavior down?
welshfella
  • welshfella
hold on
anonymous
  • anonymous
and i got -36 for the y-intercept
welshfella
  • welshfella
right
anonymous
  • anonymous
yay
welshfella
  • welshfella
its been a while since i did end behaviours fo find the x intercepts we need to solve x^3 -11x^2 + 36x - 36
anonymous
  • anonymous
So set it equal to 0?
welshfella
  • welshfella
yes
welshfella
  • welshfella
as the last number is 36 we could try 2,3 and 6 to see if they are roots
anonymous
  • anonymous
Can there be more than one answer when you do that tho
welshfella
  • welshfella
f(2) = 8 - 44 + 72 - 36 = 0 yes x=2 is one x-intercept
anonymous
  • anonymous
i think they all work
welshfella
  • welshfella
yes they do thats is pure luck!!!!
welshfella
  • welshfella
lol
anonymous
  • anonymous
I think the end behavior is down because it hits x at 3 points
welshfella
  • welshfella
normally i would divide the polynomial by x - 2 and try to factor the quotient
welshfella
  • welshfella
no i dont think we can say that as the last zero is 6 try finding f(7) and f(8) and see if they are increasing or decreasing
welshfella
  • welshfella
f(7) = 20 f(8) = 60 so end behaivour is increasing
anonymous
  • anonymous
so up? lol
welshfella
  • welshfella
yes
anonymous
  • anonymous
yay! thank you so much!
welshfella
  • welshfella
i'll draw the graph on my calculator to confirm
welshfella
  • welshfella
yep it looks somthing like |dw:1438439995445:dw|
anonymous
  • anonymous
yayy
welshfella
  • welshfella
yea its always worth doing a check on factors of the last number especially if its a composite number like 36

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