Which of the following is a polynomial with roots – square root of 3, square root of 3, and 2?

x3 + 3×2 – 5x – 15

x3 + 2×2 – 3x – 6

x3 – 3×2 – 5x + 15

x3 – 2×2 – 3x + 6

3 Answers

  • 1) x^3+3x^2-5x-15=0 has 3 distinct real roots:

    x=-3, x=+/- 2.236068=+/-sqrt(5)

    2) x^3+2x^2-3x-6=0 has 3 distinct real roots:

    x=-2, x=+/- 1.732051=+/- sqrt(3)

    3) x^3-3x^2-5x+15=0 has 3 distinct real roots:

    x=3, x=+/-2.236068=+/-sqrt(5)

    4) x^3-2x^2-3x+6=0 has 3 distinct real roots:

    x=2, x=+/- 1.732051=+/-sqrt(3). Answer.

  • x = √3 and again, √3 and 2??

    Hence, (x – √3)(x – √3)(x – 2)…??

    :)>

  • ASK A G O O K

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