Check whether g(x)=2-3x is a factor of x^2-x+1
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Answer:
2-3x= 0
-3x= 0-2
-3x = -2
x= -2/-3
x= 2/3
now,
p(x)= x^2-x+1
p(2/3)=(2/3)^2-2/3+1
p(2/3)=2^2/3^2 - 2/3+ 1
p(2/3)=4/9-2/3+1
p(2/3)=4-6+9/9
p(2/3)=13-6/9
p(2/3)=7/9
As remainder p(2/3) is not equal to 0
therefore, g(x) is not a factor of x^2-x+1
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