show that 1,2,3 are the zeros of p(x) equal (x-1) (x-2) (x-3).
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X=1
X-1=0
X=2
X-2=0
X=3
X-3=0
X-1=0
X=2
X-2=0
X=3
X-3=0
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Given, p(x) = (x – 1) (x – 2) (x – 3)
p(1) = ( 1 – 1 ) ( 1 – 2 ) ( 1 – 3 )
=> ( 0 ) ( – 1 ) ( – 2 )
=> 0 × 2
=> 0
Thus, 1 is a zero of given p(x).
p(2) = ( 2 – 1 ) ( 2 – 2 ) ( 2 – 3 )
=> ( 1 ) ( 0 ) ( – 1 )
=> 0 × (–1)
=> 0
Thus, 2 is a zero of given p(x).
p(3) = ( 3 – 1 ) ( 3 – 2 ) ( 3 – 3 )
=> ( 2 ) ( 1 ) ( 0 )
=> 2 × 0
=> 0
Thus, 3 is a zero of given p(x).
Given, p(x) = (x – 1) (x – 2) (x – 3)
p(1) = ( 1 – 1 ) ( 1 – 2 ) ( 1 – 3 )
=> ( 0 ) ( – 1 ) ( – 2 )
=> 0 × 2
=> 0
Thus, 1 is a zero of given p(x).
p(2) = ( 2 – 1 ) ( 2 – 2 ) ( 2 – 3 )
=> ( 1 ) ( 0 ) ( – 1 )
=> 0 × (–1)
=> 0
Thus, 2 is a zero of given p(x).
p(3) = ( 3 – 1 ) ( 3 – 2 ) ( 3 – 3 )
=> ( 2 ) ( 1 ) ( 0 )
=> 2 × 0
=> 0
Thus, 3 is a zero of given p(x).
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