Question 284779: Factor by grouping, if possible.
x^3 - 6x^2 + 5x - 30
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Factor by grouping, if possible.
x^3 - 6x^2 + 5x - 30
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Rearrange:
x^3+5x -6x^2-30
Factor the 1st two and the last two terms separately:
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x(x^2+5) -6(x^2+5)
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Factor Again:
(x^2+5)(x-6)
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Those factors are prime in the Real Number System.
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In the Complex Number System the factors are:
(x+isqrt(5))(x-isqrt(5))(x-6)
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Cheers,
Stan H.
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