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stevejounson

  • 2 years ago

Use the Rational Root Theorem to list all possible rational roots of the polynomial equation x3 – x2 – x – 3 = 0. Do not find the actual roots. (1 point) –3, –1, 1, 3 1, 3 –33 no roots

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  1. stevejounson
    • 2 years ago
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    i think it is a am i right yes or no

  2. wio
    • 2 years ago
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    \[a_n = 1 \quad a_0 = -3\]

  3. wio
    • 2 years ago
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    \[ \pm \frac{1,3}{1} = 1, 3, -1, -3 \]

  4. wio
    • 2 years ago
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    you're right, but what matters is the process you used.

  5. stevejounson
    • 2 years ago
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    ok can u check another one for me

  6. stevejounson
    • 2 years ago
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    What does Descartes's Rule of Signs tell you about the real roots of the polynomial? –2x3 + 3x2 – 5x – 2 = 0 (1 point) There is one positive root and either 2 or 0 negative roots. There are either 2 or 0 positive roots and there are either 2 or 0 negative roots. There is one positive root and one negative root. There are either 2 or 0 positive roots and one negative root. i think it c

  7. stevejounson
    • 2 years ago
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    @wio am a right

  8. wio
    • 2 years ago
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    Well it has 3 roots. We know it has 2 or 0 positive roots.

  9. stevejounson
    • 2 years ago
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    so its d

  10. wio
    • 2 years ago
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    you didn't list d

  11. stevejounson
    • 2 years ago
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    aThere is one positive root and either 2 or 0 negative roots. bThere are either 2 or 0 positive roots and there are either 2 or 0 negative roots. cThere is one positive root and one negative root. dThere are either 2 or 0 positive roots and one negative root.

  12. wio
    • 2 years ago
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    d looks best.

  13. stevejounson
    • 2 years ago
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    ok i have 1 more

  14. stevejounson
    • 2 years ago
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    Find a third-degree polynomial equation with rational coefficients that has roots –4 and 6 + i. (1 point) x3 – 8x2 – 11x + 148 = 0 x3 – 8x2 – 12x + 37 = 0 x3 – 12x2 + 37x = 0 x3 – 8x2 – 11x = 0 i think this one is b or a

  15. wio
    • 2 years ago
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    Obviously it is a or b, since 0 is not a root.

  16. stevejounson
    • 2 years ago
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    so which one do u think it is im going with a

  17. wio
    • 2 years ago
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    can't you just plug 4 into one of them to find out?

  18. lilmissthang1718
    • 2 years ago
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    whats number 2 to this ?

  19. angelaferrari
    • 6 days ago
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    a a d a d

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