Alison Salazar Polynomial Long Division (Level 3) Apr 26, 8:56:39 AM ?. Use the long division method to find the result when 4x3 + 11x2 + 13x + 19 is divided by x + 2. If there is a remainder, express the result in the form q(x) + b(x) Answer: 2.244 Submit Answer attempt 2 out of 3 PRIVACY Policy Terms of Service

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According to the problem, the expressions are

[tex]\begin{gathered} 4x^3+11x^2+13x+19 \\ x+2 \end{gathered}[/tex]

To develop a long division solution, we solve as follows

As you can observe in the division above, the division is no exact with a reminder of 5.

Now, we use the division algorithm to express the result

[tex]\frac{\text{Dividend}}{\text{Divisior}}=quotient+\frac{re\min der}{\text{Divisor}}[/tex]

Hence, the answer is

[tex]\frac{4x^3+11x^2+13x+19}{x+2}=4x^2+3x+7+\frac{5}{x+2}[/tex]

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