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Factorize x^3-5x^2+x-5
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Step-by-step explanation:
f(1)= 1-5-1+5 =0
(x-1) is a factor
f(-1)= (-1)^3-5(-1)^2 --(-1) +5 =—-1- 5+1+5 =0
( x+1) is a factor
f(5)= (5 )^3--(5) 5^2 --( 5 ) +5= 125 -1 25—-5+5 =0
( x-- 5) is a factor
Factors of the given problem is( x+1)(x-1) (x-5)
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