In order to use the slip and slide method, first, we multiply the leading coefficient by the constant term, rewriting the expression will look like this:
[tex]\begin{gathered} k^2-24k+(8\times16) \\ k^2-24k+128 \end{gathered}[/tex]factor the expression using two numbers that multiplied together are equal to 128 and added together are equal to -24,
[tex](k-8)(k-16)[/tex]then, divide both terms by the 16 we multiplied first
[tex]\begin{gathered} (k-\frac{8}{16})(k-\frac{16}{16}) \\ (k-\frac{1}{2})(k-1) \end{gathered}[/tex]rewrite the terms by sliding the denominator in front of the variable,
[tex](2k-1)(k-1)[/tex]