Find the quotient and the remainder when
6. f(x) = x cube-3xsquare + 5x - 3 is divided by g(x) = xsquare – 2.
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Answer:
Given:-
p(x)=x
3
−3x
2
+5x−3
g(x)=x
2
−2
p(x)÷g(x)
(x
3
−3x
2
+5x−3)÷(x
2
−2)
x
2
−2
x
3
−3x
2
+5x−3
=(x−3)+
(x
2
−2)
(7x−9)
Quotient =(x−3)
Remainder =(7x−9)
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