Question

find the remainder when 9x³-3x²+x-5 is divided by x-2/3​

Answer 1

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Answer 2

Step-by-step explanation:

$9 (\frac{2}{3} ) ^{3} - 3( \frac{2}{3} ) ^{2} - \frac{2}{3} - 5 \\ = 9( \frac{8}{27}) - 3( \frac{4}{9}) + \frac{2}{3} - 5 \\ = \frac{8}{3} - \frac{4}{3} + \frac{2}{3} - 5 \\ = \frac{8 - 4 + 2 - 15}{3 } \\ = \frac{10 - 19}{3} \\ = \frac{ - 9}{3 } \\ = - 3$