maths polynomial need help

4m^4-24m³+33m²+9m-9=0
help me with factor

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  1. (8m^2-24m-3+3√17)/4 * (8m^2-24m-3-3√17)/4

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  2. 4m⁴-24m³+33m²+9m-9=0

    re-write the polynomial equation as:

    4m⁴-24m³+36m²-3m²+9m-9=0

    because: 36m²-3m²=33m²

    re-grouping

    (4m⁴-24m³+36m²)-(3m²-9m)-9

    factor out 4

    4(m⁴-6m³+9m²)-(3m²-9m)-9

    note:

    m⁴-6m³+9m²=(m²-3m)²

    therefore,we ve:

    4(m²-3m)²-(3m²-9m)-9=0

    4(m²-3m)-3(m²-3m)-9=0

    so,another form of rewriting 4m⁴-24m³+33m²+9m-9=0, is

    4(m²-3m)²-3(m²-3m)-9=0

    let
    (m²-3m)=a

    therefore,we ve:

    4a²-3a-9=0

    solve for a.

    recall:

    solving the two equation quadratically will give the root of the polynomial
    then u no what to do agn
    i think steve is right

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