Question

factor completely.\\( f^2 + 24f + 23 \\)

Explanation:

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

The factors of 23 are 1 and 23, and \(1 + 23 = 24\).

Step2: Use these numbers to factor the quadratic.

The quadratic \(f^2 + 24f + 23\) can be factored as \((f + 1)(f + 23)\) since \((f + 1)(f + 23)=f^2+23f + f+23=f^2 + 24f + 23\).

Answer:

\((f + 1)(f + 23)\)