find the remainder using remainder theorem .
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g(x)=0 implies X = -2/3
Thus, remainder =f(−2/3)
∴ Remainder =3×(3−2 ) 4 +2×( −2/3)⁴ ×2 (-2/3)³ − 1/3 ×(−2/3)² -1/9 ×(−2/3 )¹ + 27/2
∴ Remainder = 16/27 - 16/27 + 4/27 + 2/27 + 2/27 = 0
I hope this will help you
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