x³-4x²+5x-2 factorize
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Step-by-step explanation:
Let f(x)=x
3
−4x
2
+5x−2
Sum of the coefficients =1−4+5−2=0
∴(x−1) is a factor.
Remainder =0
f(x)=x
3
−4x
2
+5x−2
=(x−1)(x
2
−3x+2)
=(x−1)(x−1)(x−2)
=(x−1)
2
(x−2)
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