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write a polynomial that represents the sum off an odd integers 2n+1 and the next two consecutive odd integers

  • algebra -

    consecutive odd integers are 2 apart, so let's just add 2 to get the next one

    2x+1 + 2 = 2x+3
    2x+3 + 2 = 2x + 5

    so the polynomial
    = 2x+1 + 2x+3 + 2x + 5
    = 6x + 9

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