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Step by step explanation:-
x - 1 ) 4x² + 3x + 1 ( 4x + 7
4x² - 4x
( - ) ( + )
____________
7x + 1
7x - 7
(-) (+)
___________
8
___________
Dividend = 4x² + 3x + 1
Divisor = x - 1
Quotient = 4x + 7
Reminder = 8
_______________________________
How to divide polynomials by long division method:-
- First divide the first term of dividend by the first term of divisor.
- The value which comes after division , write it in quotient as we write it in normal division.
- Then ,Multiple quotient by the whole divisor.
- The value comes after multiplication write it below to the dividend.
- Then change the signs of value that comes after multiplication and then solve it by using subtraction or by adding.
- Then same solve the value that comes after subtraction and adding.
- Then, Solve it further by using above points.
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