SOLUTION: A polynomial f and a factor of f are given. Factor f completly. F(x) = x^3 - 3x^2 - 16x - 12 ; x-6

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Question 682502: A polynomial f and a factor of f are given. Factor f completly.
F(x) = x^3 - 3x^2 - 16x - 12 ; x-6

Answer by ReadingBoosters(3246)   (Show Source): You can put this solution on YOUR website!
Divide

...
(x-6) goes into :
to get

subtracting

yielding

...
(x-6) goes into : 3x
to get

subtracting

yielding
2x
...
(x-6) goes into 2x - 12: 2
to get
2x - 12
subtracting
2x - 2x - 12 - -12
yielding
0
...

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

0 = x-6, AND
0 = x+2, AND
0 = x+1,
.....................
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