find the remainder when p(x)=x3_6x2+4x_3 is divided by g(x)=1_2xand verify the result by long division?
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Step-by-step explanation:
Given, p(x) =x3-6x2+ 4x-3
the linear polynomial is 1-2x
the zero the linear polynomial is 1/2
put x= 1/2 in p(x)
therefore,
p(1/2) = (1/2)3 - 6(1/2)2 + 4(1/2)-3
= 3/2 - 3×2 + 2-3
=3/2-6-1
=-11/2
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