Question

Find the slip and slide trinomials for 6w2 -28w + 32

Answer 1

Note: w=x for the explanation.

Notice that we can rewrite the given trinomial as:

`2\left(3x^2-14x+16\right).`

Now, we can write

`3x^2-14x+16`

as

`(3x^2-6x)-(8x+16)=3x(x-2)-8(x-2).`

Finally, factoring out the (x-2), we get:

`6x^2-28x+32=2(x-2)(3x-8).`

Answer:

`6w^2-28w+32=2(w-2)(3w-8).`