without actual division show that the polynomial P(X) = X ^4 + 2 x ^3 - 2 X ^2 + 2 x-3 is exactly divisible division by g(X) = X^2+ 2 x-3
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Answer:
x^2+2x-3
Step-by-step explanation:
x^2+3x-x-3
x(x+3)-1(x+3)
x=1,-3
putting this x value in given eqn gives zero so they are its root
so it is divisible by x^2+2x-3
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