brigitteg3 brigitteg3
  • 23-05-2020
  • Mathematics
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Find r(x + 1) if r(x) = x3+x+1

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altavistard
altavistard altavistard
  • 26-05-2020

Answer:

x^3 + 3x^2 + 4x + 3

Step-by-step explanation:

Please write this as r(x) = x^3+x+1.  " ^ " represents exponentiation.

Given r(x) = x^3+x+1, replace each x with (x + 1) (must use parentheses here):

r(x + 1) = (x + 1)^3 + (x + 1) + 1, or

           = x^3 + 3x^2 + 3x + 1 + x + 1 + 1, or

            = x^3 + 3x^2 + 4x + 3

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