astultz309459
astultz309459 astultz309459
  • 21-11-2018
  • Mathematics
contestada

Factor the polynomial function over the complex numbers. f(x)=x^3−3x^2+2x−6

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tanner23456
tanner23456 tanner23456
  • 21-11-2018

This one's kinda tricky

Start by putting parenthesis around the first two terms and last two terms

(x^3 - 3x^2) + (2x - 6)

Now, see what you can pull out.

In the first set, you can see they have an x^2 in common.

In the second set, they have a factor of 2 in common.

Therefore,

x^2(x - 3) + 2(x - 3)

combine the like terms to get

(x^2 + 2)(x - 3)

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