Q. 5.) If dividend p(x) = 3x4-x3 +30x-1 and divisor 2x-I then find remainder:
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Answer:
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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