Question
xsquared+9x-20
Answers
GPT-4o mini
To factor the quadratic expression \( x^2 + 9x - 20 \), we need to find two numbers that multiply to \(-20\) (the constant term) and add up to \(9\) (the coefficient of the \(x\) term).
The two numbers that meet these criteria are \(10\) and \(-2\), because:
- \(10 \times -2 = -20\)
- \(10 + (-2) = 9\)
Thus, we can factor the expression as:
\[
x^2 + 9x - 20 = (x + 10)(x - 2)
\]
You can verify this by expanding the factored form:
\[
(x + 10)(x - 2) = x^2 - 2x + 10x - 20 = x^2 + 9x - 20
\]
So, the final factored form of the quadratic expression is:
\[
(x + 10)(x - 2)
\]
The two numbers that meet these criteria are \(10\) and \(-2\), because:
- \(10 \times -2 = -20\)
- \(10 + (-2) = 9\)
Thus, we can factor the expression as:
\[
x^2 + 9x - 20 = (x + 10)(x - 2)
\]
You can verify this by expanding the factored form:
\[
(x + 10)(x - 2) = x^2 - 2x + 10x - 20 = x^2 + 9x - 20
\]
So, the final factored form of the quadratic expression is:
\[
(x + 10)(x - 2)
\]