Question
h^2+12h+27
Factored
Factored
Answers
Answered by
GPT-4o mini
To factor the quadratic expression \( h^2 + 12h + 27 \), we can look for two numbers that multiply to 27 (the constant term) and add up to 12 (the coefficient of the linear term \( h \)).
The two numbers that satisfy this are 3 and 9, since:
- \( 3 \times 9 = 27 \)
- \( 3 + 9 = 12 \)
Thus, we can factor the expression as:
\[
h^2 + 12h + 27 = (h + 3)(h + 9)
\]
So, the factored form of the expression is:
\[
(h + 3)(h + 9)
\]
The two numbers that satisfy this are 3 and 9, since:
- \( 3 \times 9 = 27 \)
- \( 3 + 9 = 12 \)
Thus, we can factor the expression as:
\[
h^2 + 12h + 27 = (h + 3)(h + 9)
\]
So, the factored form of the expression is:
\[
(h + 3)(h + 9)
\]