Respuesta :

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

Learn more about long division:

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