# 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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