Real Zeros of Polynomial Function...3

Discussion in 'Other Pre-University Math' started by nycmathguy, Sep 20, 2021.

  1. nycmathguy

    nycmathguy

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    Section 2.5
    Question 92

    Please, work out 92 as a guide for me to do the rest.

    20210919_213106.jpg
     
    nycmathguy, Sep 20, 2021
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  2. nycmathguy

    MathLover1

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    f(z)=12z^3-4z^2-27z+9

    f(z)=12z^3+14z^2-18z^2-6z-21z+9

    f(z)=(12z^3-18z^2)+(14z^2 -21z)-(6z-9)

    f(z)=6z^2(2z-3)+7z(2z -3)-3(2z-3)

    f(z) = (2z - 3) (6z^2 + 7z - 3)

    f(z) = (2z - 3) (6z^2 -2z+ 9z - 3)

    f(z) = (2z - 3) ((6z^2 + 9z)-(2z + 3))

    f(z) = (2z - 3) (3z(2z + 3)-(2z + 3))

    f(z) = (2z - 3) (2z + 3) (3z - 1)
     
    MathLover1, Sep 20, 2021
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  3. nycmathguy

    nycmathguy

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    Thanks again. I can take it from here.
     
    nycmathguy, Sep 20, 2021
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