Question

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

Answer 1

According to the problem, the expressions are

`\begin{gathered} 4x^3+11x^2+13x+19 \\ x+2 \end{gathered}`

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

`\frac{\text{Dividend}}{\text{Divisior}}=quotient+\frac{re\min der}{\text{Divisor}}`

Hence, the answer is

`(4x^3+11x^2+13x+19)/(x+2)=4x^2+3x+7+(5)/(x+2)`