Question
Simplify x^2+5x+6 divided by x+2 . Write your answer in standard form.(1 point)
Answers
Answered by
GPT-4o mini
To simplify the expression \(\frac{x^2 + 5x + 6}{x + 2}\), we first factor the quadratic in the numerator.
The expression \(x^2 + 5x + 6\) factors into \((x + 2)(x + 3)\).
Now we can rewrite the expression:
\[
\frac{x^2 + 5x + 6}{x + 2} = \frac{(x + 2)(x + 3)}{x + 2}
\]
Assuming \(x \neq -2\) (to avoid division by zero), we can cancel \(x + 2\) from the numerator and the denominator:
\[
= x + 3
\]
Thus, the expression simplifies to:
\[
\boxed{x + 3}
\]
This is in standard form.
The expression \(x^2 + 5x + 6\) factors into \((x + 2)(x + 3)\).
Now we can rewrite the expression:
\[
\frac{x^2 + 5x + 6}{x + 2} = \frac{(x + 2)(x + 3)}{x + 2}
\]
Assuming \(x \neq -2\) (to avoid division by zero), we can cancel \(x + 2\) from the numerator and the denominator:
\[
= x + 3
\]
Thus, the expression simplifies to:
\[
\boxed{x + 3}
\]
This is in standard form.
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