Question 673519
x^3 + 2x^2 - 21x + 18   divided by x-3
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x-3 goes into x^3 + 2x^2:   x^2
yielding x^3 - 3x^2
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x^3 + 2x^2 - x^3 - -3x^2 = 5x^2
x-3 goes into 5x^2 - 21x: 5x
yielding
5x^2 - 15x 
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5x^2 - 21x - 5x^2 - -15x = -6x
x-3 goes into -6x + 18: -6
yeilding
-6x + 18
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-6x + 18 - -6x - 18 = 0
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{{{(x^3+2x^2-21x+18)/(x-3)= highlight_green(x^2 + 5x - 6)}}}
Which factors to (x+6)(x-1)
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(x-3)(x+6)(x-1)
x = -6, 1, 3

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