Math, asked by akashraj2005inflood, 8 months ago

divide the polynomial x⁴-9x²+9 by the polynomial x² - 3x and verify the division algoritham​

Answers

Answered by vishalsinghsahabajga
0

Answer:

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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