QQuestionMathematics
QuestionMathematics
simplify x^2 + 5x+ 6 /x+ 2
# Question 2(Multiple Choice Worth 5 points)
(04.01 LC)
\text { Simplify } \frac{x^{2}+ 5 x+ 6}{x+ 2}
$\bigcirc x^{2}+ 1$
\bigcirc x^{2}- 1
$\bigcirc x+ 3$
\text { ( } x- 3
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this step by step using the polynomial long division method:
Step 2:: Set up the polynomial long division
We want to divide $$x^{2}+5x+6$$ by $$x+2
Step 3:: Perform polynomial long division
- Subtract: $$x^{2}+5x+6 - (x^{2}+2x) = 3x+6
- Multiply x by x+ 2: x(x+ 2) = x^{2}+ 2x
Step 4:: Continue division
- Subtract: $$3x+6 - (3x+6) = 0
- Multiply 3 by x+ 2: 3(x+ 2) = 3x+ 6
Step 5:: Interpret the result
\frac{x^{2}+5x+6}{x+2} = x+3
Since the remainder is 0, we can express the division as:
Final Answer
The correct multiple-choice option is the third choice: x+ 3.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students