Cook Maxwell
05/31/2024 · Senior High School
Find the quotient using long division. \[ \frac{x^{2}+5 x+6}{x+3} \]
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Step-by-step Solution
Find the long division \( \frac{x^{2}+5x+6}{x+3} \).
Divide the polynomials by following steps:
- step0: Using Long Division to Divide Polynomials:
\(\left(x^{2}+5x+6\right)\div \left(x+3\right)\)
- step1: Calculate:
\(\left(x+2\right)\text{ }\textrm{remainder}\text{ }0\)
The quotient of the division \( \frac{x^{2}+5x+6}{x+3} \) is \( x+2 \) with a remainder of 0.
Quick Answer
The quotient is \( x+2 \).
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