barrelracerrock barrelracerrock
  • 30-08-2017
  • Mathematics
contestada

Which of the following is a factor of x^3-4x^2-18x+9

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briiinax3
briiinax3 briiinax3
  • 30-08-2017
(x-2)(x^2-7x+3) most likely

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caylus
caylus caylus
  • 30-08-2017
Hello,

[tex]x^3-4x^2-18x+9\\ =x^3+3x^2-7x^2-21x+3x+9\\ =x^2(x+3)-7x(x+3)+3(x+3)\\ =(x+3)(x^2-7x+3)\\ =(x+3)(x- \frac{7- \sqrt{37}}{2} )(x- \frac{7+ \sqrt{37}}{2} )[/tex]
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