Question
Factor.
x, squared, minus, x, minus, 72
x
2
−x−72
x, squared, minus, x, minus, 72
x
2
−x−72
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To factor the quadratic expression \( x^2 - x - 72 \), we need to find two numbers that multiply to \(-72\) (the constant term) and add to \(-1\) (the coefficient of the linear term).
The two numbers that fit these criteria are \(8\) and \(-9\) because:
- \(8 \times (-9) = -72\)
- \(8 + (-9) = -1\)
Therefore, we can factor the expression as follows:
\[
x^2 - x - 72 = (x + 8)(x - 9)
\]
So, the factored form of the expression \( x^2 - x - 72 \) is:
\[
(x + 8)(x - 9)
\]
The two numbers that fit these criteria are \(8\) and \(-9\) because:
- \(8 \times (-9) = -72\)
- \(8 + (-9) = -1\)
Therefore, we can factor the expression as follows:
\[
x^2 - x - 72 = (x + 8)(x - 9)
\]
So, the factored form of the expression \( x^2 - x - 72 \) is:
\[
(x + 8)(x - 9)
\]
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.