Question

x^3-3x^2+5x-3/x^2-2 and verify by division algorithm​

Answer 1

On Dividing f(x) = x³ - 3x² + 5x - 3 by g(x) = x² - 2

We get, q(x) = x - 3 and r(x) = 7x - 9

Then By Division Algorithm,

p(x) = q(x) × g(x) + r(x)

x³ - 3x² + 5x - 3 = (x² - 2)(x - 3) + (7x - 9)

x³ - 3x² + 5x - 3 = x³ - 3x² - 2x + 6 + 7x - 9

x³ - 3x² + 5x - 3 = x³ - 3x² + 5x - 3

LHS = RHS

Hence verified /