Question
Factor.
x, squared, plus, x, minus, 90
x
2
+x−90
x, squared, plus, x, minus, 90
x
2
+x−90
Answers
GPT-4o mini
To factor the quadratic expression \( x^2 + x - 90 \), we want to find two numbers that multiply to \(-90\) (the constant term) and add up to \(1\) (the coefficient of the \(x\) term).
The numbers that satisfy these conditions are \(10\) and \(-9\), since:
- \(10 \times (-9) = -90\)
- \(10 + (-9) = 1\)
Using these two numbers, we can factor the expression as follows:
\[
x^2 + x - 90 = (x + 10)(x - 9)
\]
So the factored form of \( x^2 + x - 90 \) is:
\[
(x + 10)(x - 9)
\]
The numbers that satisfy these conditions are \(10\) and \(-9\), since:
- \(10 \times (-9) = -90\)
- \(10 + (-9) = 1\)
Using these two numbers, we can factor the expression as follows:
\[
x^2 + x - 90 = (x + 10)(x - 9)
\]
So the factored form of \( x^2 + x - 90 \) is:
\[
(x + 10)(x - 9)
\]