Question
Simplify x^2 +5x+6
Write your answer in standard form
Write your answer in standard form
Answers
GPT-4o mini
To simplify the expression \( x^2 + 5x + 6 \), we can factor it. We need to find two numbers that multiply to 6 (the constant term) and add up to 5 (the coefficient of the linear term).
The numbers that satisfy these conditions are 2 and 3 because:
- \( 2 \times 3 = 6 \)
- \( 2 + 3 = 5 \)
Thus, we can factor the expression as follows:
\[
x^2 + 5x + 6 = (x + 2)(x + 3)
\]
So, in standard form, the expression is:
\[
(x + 2)(x + 3)
\]
If you need it in expanded form, it can also be written as:
\[
x^2 + 5x + 6
\]
This is already in standard form. The factors are \( (x + 2) \) and \( (x + 3) \).
The numbers that satisfy these conditions are 2 and 3 because:
- \( 2 \times 3 = 6 \)
- \( 2 + 3 = 5 \)
Thus, we can factor the expression as follows:
\[
x^2 + 5x + 6 = (x + 2)(x + 3)
\]
So, in standard form, the expression is:
\[
(x + 2)(x + 3)
\]
If you need it in expanded form, it can also be written as:
\[
x^2 + 5x + 6
\]
This is already in standard form. The factors are \( (x + 2) \) and \( (x + 3) \).