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kelsey1

  • 2 years ago

what are the zeros of f(x)=x^4-7x^3+15x^2-9x?

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  1. sauravshakya
    • 2 years ago
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    To fnd zeros, f(x)=0 x^4-7x^3+15x^2-9x=0

  2. sauravshakya
    • 2 years ago
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    Now, SOLVE FOR x can u?

  3. kelsey1
    • 2 years ago
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    I don't remember can you show me how please

  4. sauravshakya
    • 2 years ago
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    Try to factor x^4-7x^3+15x^2-9x

  5. kelsey1
    • 2 years ago
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    oh okay I remember what to do now!

  6. kelsey1
    • 2 years ago
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    Can you show me how to factor that like I remember what to do once you find X but I'm not so great at factoring 4terms and 3terms..

  7. sauravshakya
    • 2 years ago
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    x^4-7x^3+15x^2-9x =x(x^3 -7x^2+15x-9) =x{ x^3 -x^2 -6x^2 +6x +9x-9} =x{ x^2(x-1) -6x(x-1) +9(x-1)} =x{(x-1)(x^2-6x+9)} =x(x-1){ x^2 -2*x*3+3^2} =x(x-1)(x-3)(x-3)

  8. sauravshakya
    • 2 years ago
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    Now, can u do the rest?

  9. kelsey1
    • 2 years ago
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    Yes! Thank You so much! The X on the outside is equal to? 0

  10. sauravshakya
    • 2 years ago
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    yes

  11. kelsey1
    • 2 years ago
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    Yay okay thank you!

  12. sauravshakya
    • 2 years ago
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    welcome

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