Question
factor the complete n^2-7n+12
Answers
GPT-4o mini
To factor the quadratic expression \( n^2 - 7n + 12 \), we need to find two numbers that multiply to the constant term (12) and add up to the linear coefficient (-7).
The numbers that fit these criteria are -3 and -4, because:
- \((-3) \times (-4) = 12\)
- \((-3) + (-4) = -7\)
Now we can write the factored form of the expression:
\[
n^2 - 7n + 12 = (n - 3)(n - 4)
\]
So, the factored form of \( n^2 - 7n + 12 \) is \((n - 3)(n - 4)\).
The numbers that fit these criteria are -3 and -4, because:
- \((-3) \times (-4) = 12\)
- \((-3) + (-4) = -7\)
Now we can write the factored form of the expression:
\[
n^2 - 7n + 12 = (n - 3)(n - 4)
\]
So, the factored form of \( n^2 - 7n + 12 \) is \((n - 3)(n - 4)\).