Question

factor completely. \\( n^2 - 24n + 23 \\)

Explanation:

Step1: Find two numbers that multiply to 23 and add to -24.

The numbers are -1 and -23 since \((-1)\times(-23) = 23\) and \((-1)+(-23)=-24\).

Step2: Rewrite the middle term using these numbers.

\(n^{2}-n - 23n + 23\)

Step3: Group the terms and factor by grouping.

\((n^{2}-n)+(-23n + 23)=n(n - 1)-23(n - 1)\)

Step4: Factor out the common binomial factor.

\((n - 1)(n - 23)\)

Answer:

\((n - 1)(n - 23)\)