factories x3-5x2-2x+24
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2
Let P(x)=x
3
−5x
2
−2x+24
We know P(−2)=0
Thus, x+2 is a factor
The other factor is x
2
−7x+12
=x
2
+4x+3x+12
=(x−3)(x−4)
Thus, x
3
−5x
2
−2x+24=(x+2)(x−3)(x−4)
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