Mathematics

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Express 3x squared + 2x + 1 in the form a(x+p)squared + q where a,p and q are real numbers

  • Mathematics -

    3 x^2 + 2 x + 1

    3 [x^2 + 2/3 x + 1/3]

    3 [ x^2 + 2/3 x + 4/36 + 1/3 - 4/36 ]

    3 [ (x+2/6)^2 + 3/9 - 1/9 ]

    3 [ (x+1/3)^2 + 2/9 ]

    3 (x+1/3)^2 + 2/3

  • Mathematics -

    I used "completing the square" which you will find in your text under solving quadratic equations.

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