The quotient is x³ + 5x² + 15x + 5 and the remainder is 1.
What is division?
A procedure of dividing anything into equal halves is called division. One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.
The quotient and the remainder will be solved as follows:-
x + 3 ) x⁴ + 8x³ - 40x + 16 ( x³ + 5x² + 15x + 5
x⁴ - 3x³
_______________
5x³ -40x + 16
-5x³ +15x²
_______________
15x² - 40x + 16
-15x² +45x
________________
5x + 16
-5x - 15
________________
1
Therefore, the quotient is x³ + 5x² + 15x + 5 and the remainder is 1.
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