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Algebra II

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I need to write a polynomial in SIMPLEST FORM having roots 2,-2 and 4. I have to gt rid of the parentheses by multiplying everything out.Did I do it correctly?
(x-2)(x+2)(x-4)original problem
1.x^2 + 2x-2x=x^2-4)
2. (x^2-4)(x-4)
3. x^3-4x^2-4x+16=0

  • Algebra II -

    the first step should be x^2+2x-2x-4 = x^2-4(I forgot to put the (-4)

  • Algebra II -

    So far, so good.

    (x^2-4)(x-4) = x^3 - 4x^2 - 4x + 16

    You don't need an equation, just the polynomial.

  • Algebra II-Please recheck -

    Is that in simplest form or am I suppose to do something else with it? It seems too easy-

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