1. Divide the polynomial p x( ) by the polynomial g x( )
and find the quotient and remainder in each of the
following :
(i) p x( ) x x3 5x 3 3 2 = − − , g x( ) x 2 2 = −
(ii) p x( ) x x3 4x 5 4 2 = − + + , g x( ) x x 1 2 = + −
(iii) p x( ) x x5 6 4 = − + , g x( ) 2 x2
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Answer:
Step-by-step explanation:
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
(i) p(x)=x
3
−3x
2
+5x−3, g(x)=x
2
−2
(ii) p(x)=x
4
−3x
2
+4x+5, g(x)=x
2
+1−x
(iii) p(x)=x
4
−5x+6, g(x)=2−x
2
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