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dellzasaur Group Title

Factor the expression x^4+8x^2-20??

  • one year ago
  • one year ago

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  1. Algebraic! Group Title
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    x^4+8x^2-20 ..?

    • one year ago
  2. dellzasaur Group Title
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    Were doing some cubic stuff in class lol

    • one year ago
  3. dellzasaur Group Title
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    its x^4+8x^2-20 @Algebraic!

    • one year ago
  4. Algebraic! Group Title
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    substitute u =x^2

    • one year ago
  5. mathstudent55 Group Title
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    Start wit a substitution to make it simpler: Let u = x^2, then u^2 = x^4. Now re3place the x's with the u's: u^2 + 8u - 20 Can you factor that one?

    • one year ago
  6. dellzasaur Group Title
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    @mathstudent55 Im not sure.... My teacher didnt really go over this so i have no idea. Would I pull out a 4?

    • one year ago
  7. Algebraic! Group Title
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    u^2 + 8u - 20 is a quadratic... you've factored a lot of those by now I think....

    • one year ago
  8. Algebraic! Group Title
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    what two number multiply to give -20 and add to give 8?

    • one year ago
  9. dellzasaur Group Title
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    @Algebraic! 10 and -2

    • one year ago
  10. Algebraic! Group Title
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    (u+10)(u-2) = (x^2 +10)(x^2 -2)

    • one year ago
  11. Algebraic! Group Title
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    (x^2-2) is a difference of squares.. so you can factor that ...

    • one year ago
  12. dellzasaur Group Title
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    @Algebraic! Okay so what would i do with the other equation?

    • one year ago
  13. Algebraic! Group Title
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    (x^2+10) ? no real roots...

    • one year ago
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