factorise 27x3-108x2+144x-64
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p(x)=27x^3-108x^2+144x-63
g(x)=1
p(1)=27*1^3-108*1^2+144*1-63 =0
therefore x=1 is a factor of px
or x-1 is a factor of px
after this look above in the picture
I have solved the sum using factor theorem
Thank you
Hope you understood
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