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iNeedHelpPlease

  • 5 years ago

x^4+x^3+8X^2+9x-9 write the polynomial as (a) the product of factors that are irreducible over the rationals, (b) as the product of linear and quadratic factors that are irreducible over the reals, and (c) in completely factored form.

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  1. Yuki
    • 5 years ago
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    which part are you having trouble with ?

  2. ineedhelpplease
    • 5 years ago
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    the first part

  3. ineedhelpplease
    • 5 years ago
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    if i can get that then rest of the problem should be easy

  4. Yuki
    • 5 years ago
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    okay, then let me ask you some questions do you know what a "rational" number is ?

  5. ineedhelpplease
    • 5 years ago
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    not really.

  6. Yuki
    • 5 years ago
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    it is a long story if we went through the details, but the shortest way to say it is "fractions"

  7. Yuki
    • 5 years ago
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    so 0.1 is rational since it is 1/10 0.7878787878... is rational since it is 78/99 -10 is rational since it is -10/1

  8. ineedhelpplease
    • 5 years ago
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    i understand.

  9. Yuki
    • 5 years ago
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    knowing this, I want you to factor \[x^2 -1\]

  10. ineedhelpplease
    • 5 years ago
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    x^2-2x+1

  11. Yuki
    • 5 years ago
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    what you did was probably \[(x-1)^2 = x^2 -2x +1\]

  12. Yuki
    • 5 years ago
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    the step you took is called "expanding" the opposite step is called "factoring" so for example \[x^2 +5x +6 = (x+2)(x+3)\]

  13. ineedhelpplease
    • 5 years ago
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    my mistake. i know how to factor and expand and what not. im just having trouble factoring that equation

  14. ineedhelpplease
    • 5 years ago
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    if i can get that factored then i believe i will be able to solve the rest of the equation.

  15. Yuki
    • 5 years ago
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    okay, I just want to demonstrate the difference between a), b), and c), so bare with me. could you factor \[x^2-1\]

  16. ineedhelpplease
    • 5 years ago
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    (x-1)(x+1)

  17. ineedhelpplease
    • 5 years ago
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    i appreciate the help btw

  18. Yuki
    • 5 years ago
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    fantastic now find the solution of \[x^2+2x+5 =0\]

  19. ineedhelpplease
    • 5 years ago
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    i have to use the quadratic formula dont i?

  20. Yuki
    • 5 years ago
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    yes, that's my point could you use it ?

  21. Yuki
    • 5 years ago
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    Are you still here ?

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