Questions: Factor completely. 5 u^2 - 35 u - 90

Solution Steps

To factor the quadratic expression \(5u^2 - 35u - 90\), we can follow these steps:

1. Identify the coefficients \(a\), \(b\), and \(c\) from the quadratic expression \(au^2 + bu + c\).
2. Use the quadratic formula to find the roots of the equation.
3. Express the quadratic in its factored form using the roots.

We start with the quadratic expression: \[ 5u^2 - 35u - 90 \]

To factor the expression, we can express it in the form: \[ 5(u - 9)(u + 2) \]

Final Answer