anonymous
  • anonymous
How do i find the excluded value of this denominator? r^3−r^2−49r+49
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Kira_Yamato
  • Kira_Yamato
Let the denominator = 0
anonymous
  • anonymous
how?
Kira_Yamato
  • Kira_Yamato
Solve the eqn = 0

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anonymous
  • anonymous
i learned that we factor it first and equal it to zero
anonymous
  • anonymous
how do i solve it? it doesn't have a common factor
cwrw238
  • cwrw238
try finding a factor using factor theorem
anonymous
  • anonymous
thanks i'll learn that go learn that i haven't learned that yet
cwrw238
  • cwrw238
x-7 is worth trying (as last term = 7^) f(7) = 343 - 49 - 343 + 49 = 0 ok so (x-7) is a factor now find any other factors by dividing by x-7
cwrw238
  • cwrw238
factor theorem if f(x) is divisible by x-a then f(a) = 0
cwrw238
  • cwrw238
r^2 +6r - 7 ---------------- r-7 ) r^3−r^2 −49r+49 r^3 -7r^2 -------- 6r^2 - 49r 6r^2 - 42r --------- -7r + 49
cwrw238
  • cwrw238
r^2 +6r - 7 = (r+7)(r-1) so factors of f(r) = (r-7)(r+7)(r-1)
cwrw238
  • cwrw238
so excluded value is value of f(r) when r=7,-7 or 1
Kira_Yamato
  • Kira_Yamato
Yes
Kira_Yamato
  • Kira_Yamato

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