JoycelynU381284 JoycelynU381284

25-10-2022
Mathematics

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how would you factor the polynomial expression x4+x2-20

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AmbriellaL52609 AmbriellaL52609

25-10-2022

We have the following:

[tex]x^4+x^2-20[/tex]

factoring:

[tex]\begin{gathered} x^4+x^2-20 \\ u=x^2 \\ u^2+u-20=(u+5)(u-4) \\ (x^2+5)(x^2-4)=(x^2+5)(x+2)(x-2) \end{gathered}[/tex]

The anwer is:

[tex](x^2+5)(x+2)(x-2)[/tex]

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