The quotient of the equation 4x³ + 2x² + 50 ÷ 2x + 5 using long division method is 2x² - 4x
Long division
4x³ + 2x² + 50 ÷ 2x + 5
[tex] \sqrt[2x + 5]{ {4x}^{3} + {2x}^{2} + 50 } [/tex]
2x² - 4x
_____________
= 2x + 5 | 4x³ + 2x² + 50
4x³ + 10x²
__________
- 8x² + 50
-8x² - 10
__________
40
Therefore,
- the quotient is 2x² - 4x
- The remainder is 40
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