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Factor the given polynomial completely and match your result to the correct answer below.18m³ +24m²-24mSelect one:O a. 6m(m-4)(3m + 1)O b. 6m(3m2 +6m-4)O c.6m(m+2)(3m-2)O d. The polynomial is prime.

Factor The Given Polynomial Completely And Match Your Result To The Correct Answer Below18m 24m24mSelect OneO A 6mm43m 1O B 6m3m2 6m4O C6mm23m2O D The Polynomia class=

Sagot :

Given:

[tex]18m^^3+24m^2-24m[/tex]

Required:

We need to factorize the given polynomial completely.

Explanation:

Take out the common multiple 6m.

[tex]18m^3+24m^2-24m=6m(3m^2+4m-4)[/tex][tex]Use\text{ 4m=6m-2m.}[/tex]

[tex]18m^3+24m^2-24m=6m(3m^2+6m-2m-4)[/tex]

Take out the common multiple.

[tex]18m^3+24m^2-24m=6m(3m(m+2)-2(m+2))[/tex][tex]18m^3+24m^2-24m=6m(m+2)(3m-2)[/tex]

Final answer:

[tex]6m(m+2)(3m-2)[/tex]

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