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March 29, 2017

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Factor each polynomial comletely.
4x^2-18

7x^2-847

4x^2+18

  • algebra - ,

    4x^2-18 = (2x + sqrt18)(2x - sqrt18)
    = 4[x + (3/2)sqrt2][x - (3/2)sqrt2]

    On the second one, factor out the 7 and recognize that 121 = 11^2. Ypu will have the difference of two squares.

    The third one requires imaginary factors.
    4x^2 + 18 = 4(x^2 + 2*9/4)
    = 4[x + i(3/2)sqrt2][ x - i(3/2)sqrt2]

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