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

1 Answer

2 votes

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).

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