Question

Find the slip and slide trinomials if 16k2 -24k + 8

Answer 1

`16k^2-24k+8`

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:

`\begin{gathered} k^2-24k+(8*16) \\ k^2-24k+128 \end{gathered}`

factor the expression using two numbers that multiplied together are equal to 128 and added together are equal to -24,

`(k-8)(k-16)`

then, divide both terms by the 16 we multiplied first

`\begin{gathered} (k-(8)/(16))(k-(16)/(16)) \\ (k-(1)/(2))(k-1) \end{gathered}`

rewrite the terms by sliding the denominator in front of the variable,

`(2k-1)(k-1)`