Synthetic division
Factor theorem
Dividend in index form =
Dividend = P(x) = 22
p(x) = 1132
Coefficient form = (1,0,0,0,0, -32)
Divisor = x-2
Divisor = x - 2
Substituting x = +2in p
:. p(2)=bes 32
px
2
Opposite of – 2 is 2
1 0 0 0 0 -32
61832164
214 16/32-32
:. p(2) =
By factor theorem,
1
321
p(2) = Remainder = 0
: Remainder_32
:. X - 2 is a factor of x5 - 32
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