Express the polynomial as a product of linear factors f(x)=2x^3+4x^2-2x-4

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16-01-2018
Mathematics

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Express the polynomial as a product of linear factors f(x)=2x^3+4x^2-2x-4

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gmany gmany · Answer 1 · 2019-01-09T12:00:16+01:00

gmany gmany

09-01-2019

[tex]f(x)=2x^3+4x^2-2x-4=2(x^3+2x^2-x-2)\\\\=2[x^2(x+2)-1(x+2)]=2(x+2)(x^2-1)=2(x+2)(x^2-1^2)\\\\\boxed{f(x)=2(x+2)(x-1)(x+1)}\\\\Used\ (a-b)(a+b)=a^2-b^2[/tex]

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hillh2 hillh2 · Answer 2 · 2021-06-10T18:53:35+02:00

hillh2 hillh2

10-06-2021

Answer:

A

Step-by-step explanation:

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