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factor. $s^{2}-20s + 19$

Question

factor.
$s^{2}-20s + 19$

Explanation:

Step1: Find two numbers

We need two numbers that multiply to \(19\) and add up to \(-20\). The numbers are \(-1\) and \(-19\) since \((-1)\times(-19) = 19\) and \((-1)+(-19)=-20\).

Step2: Factor the quadratic

Using the numbers from Step 1, we can factor \(s^{2}-20s + 19\) as \((s - 1)(s - 19)\).

Answer:

\((s - 1)(s - 19)\)