Question

On dividing x cube minus 3 X square + X + 2 by polynomial P of X the quotient and remainder when x minus 2 minus 2 X + 4 respectively find G of x

Answer 1

hope my answer will help u

Answer 2

G(x)  = x² -x  + 1

Step-by-step explanation:

P(x) = x³ - 3x²  + x  + 2

g(x) = ?

q(x) = x - 2

r(x) = -2x + 4

P(x) = q(x)G(x) + r

=>  x³ - 3x²  + x  + 2 = (x-2)G(x) -2x + 4

=> (x-2)G(x)  =  x³ - 3x²  + 3x  - 2

=> (x-2)G(x)  =  (x - 2)(x² -x  + 1)

=> G(x)  = x² -x  + 1

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