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Answer :-
Given :- f(x) = 4x³ - 3x² + 2x + 1 ;
g(x) = x² - 3x + 6.
To Find :- Quotient & Remainder.
Solution :-
___________________
x² - 3x + 6) 4x³ - 3x² + 2x + 1 (4x + 9
4x³- 12x² + 24x
- + -
_____________________
9x² - 22x + 1
9x² - 27x + 54
- + -
_____________________
5x - 53
☃\sf{Hence}Hence
⚘\bf{The \: Quotient = 4x + 9 ;}TheQuotient=4x+9;
☃\rm{ \: Remainder = 5x - 53.}Remainder=5x−53.
\huge \rm \pink{Division \: Algorithm :-}DivisionAlgorithm:−
Division Algorithm is a division in which degree of Dividend is compares with degree of Divisor to know the quotient.
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