Respuesta :

legendarynightouse9n
Divide 4x3 + 2x2 + 3x + 4 by x + 4. 
by long division
..............................4x^2...-14x......59...................
..x+4..|......4x^3....2x^2.......3x........4
.................4x^3...16x^2

..........................-14x^2....-56x
..........................-14x^2......59x
...........................................59x.....236
....................................................-232
Quotient: 4x^2-14x+59
Remainder=-232

In this question we have to divide the given polynomial [tex](4x^3+2x^2+3x+4)[/tex] by the divisor [tex](x+4)[/tex].

By using the long method of division,

x + 4)4x³ + 2x² + 3x + 4(4x²- 14x + 59

        4x³ + 16x²

               - 14x² + 3x

                -14x² - 56x

                           59x + 4

                           59x + 236

                                    - 232

Therefore, the answer will be → [tex]4x^2-14x+59-\frac{232}{x+4}[/tex]

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https://brainly.com/question/870001

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