Evans Wang
10/24/2023 · Junior High School
Use the long division method to find the result when \( x^{3}+3 x^{2}+5 x+6 \) is divided by \( x+2 \). Answer Attempt 1 out of 2
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Step-by-step Solution
Using long division to calculate \( (x^3+3x^2+5x+6) \div (x+2) \).
Divide the polynomials by following steps:
- step0: Using Long Division to Divide Polynomials:
\(\left(x^{3}+3x^{2}+5x+6\right)\div \left(x+2\right)\)
- step1: Calculate:
\(\left(x^{2}+x+3\right)\text{ }\textrm{remainder}\text{ }0\)
The result of dividing \( x^{3}+3x^{2}+5x+6 \) by \( x+2 \) using long division is \( x^{2}+x+3 \) with a remainder of 0.
Quick Answer
The result is \( x^{2}+x+3 \) with no remainder.
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