divide the polynomial x⁴-9x²+9 by the polynomial x² - 3x and verify the division algoritham
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On, Dividing p(x) = x⁴ - 9x² + 9 by g(x) = x² - 3x
We get q(x) = x² + 3x and r(x) = 9
Then Division algorithm,
p(x) = q(x) × g(x) + r(x)
x⁴ - 9x² + 9 = (x² + 3x)(x² - 3x) + 9
x⁴ - 9x² + 9 = x⁴ - 3x³ + 3x³ - 9x² + 9
x⁴ - 9x² + 9 = x⁴ - 9x² + 9
LHS = RHS
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