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dellzasaur

  • 3 years ago

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

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  1. Algebraic!
    • 3 years ago
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    x^4+8x^2-20 ..?

  2. dellzasaur
    • 3 years ago
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    Were doing some cubic stuff in class lol

  3. dellzasaur
    • 3 years ago
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    its x^4+8x^2-20 @Algebraic!

  4. Algebraic!
    • 3 years ago
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    substitute u =x^2

  5. mathstudent55
    • 3 years ago
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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?

  6. dellzasaur
    • 3 years ago
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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?

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

  8. Algebraic!
    • 3 years ago
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    what two number multiply to give -20 and add to give 8?

  9. dellzasaur
    • 3 years ago
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    @Algebraic! 10 and -2

  10. Algebraic!
    • 3 years ago
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    (u+10)(u-2) = (x^2 +10)(x^2 -2)

  11. Algebraic!
    • 3 years ago
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    (x^2-2) is a difference of squares.. so you can factor that ...

  12. dellzasaur
    • 3 years ago
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    @Algebraic! Okay so what would i do with the other equation?

  13. Algebraic!
    • 3 years ago
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    (x^2+10) ? no real roots...

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