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Question
Apply the division algorithm to find the quotient and remainder on dividing f(x) by g(x) as given below:
f(x)=x3−3x2+5x−3,g(x)=x2−2
Apply the division algorithm to find the quotient and remainder on dividing f(x) by g(x) as given below:
f(x)=x3−3x2+5x−3,g(x)=x2−2
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Solution
The correct option is D Q=x−3 , R=7x−9
Let us divide f(x)=x3−3x2+5x−3 by g(x)=x2−2 as shown in the above image.
Hence, the quotient is q(x)=x−3 and the remainder is r(x)=7x−9.
Let us divide f(x)=x3−3x2+5x−3 by g(x)=x2−2 as shown in the above image.
Hence, the quotient is q(x)=x−3 and the remainder is r(x)=7x−9.
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