prove that x-2 is a factor of 2power3 - 3power2 -17x +30
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Answer:
if x-2 is factor of polynomial p(x)
then remainder 'g(x)' will be 0
Step-by-step explanation:
so,
p(x)=2^3-3^2+17x+30
g(x)= 0
zero of polynomial x-2
equate to 0
so,
x-2=0
x=2
p(2)=2^3-3^2-17x+30
= 8-9-17(2)+30
= -1-34+30
=-35+30
=-5
hence remainder is not zero x-2 is not factor of p(x)
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