Question

Find the slip and slide trinomials if 8m2 + 6m-5

Answer 1

First, we rewrite the given polynomial as follows:

$\left(8m^2-4m\right)+\left(10m-5\right).$

Notice that:

$\begin{gathered} 8m^2-4m=4m(2m-1), \\ 10m-5=5(2m-1). \end{gathered}$

Factoring out (2m-1), we get:

$(8m^2-4m)+(10m-5)=(4m+5)(2m-1).$

Answer:

$8m^2+6m-5=(4m+5)(2m-1).$