Create your own factorable polynomial with a gcf. rewrite that polynomial in two other equivalent forms. explain how each form was created.

he GCF is the greatest common factor of 2 or more numbers or polynomials.
Start with the factors: x, x + 1, x - 2
Now multiply them together.
x(x+1)(x−2) =(x2+x)(x−2)
=x3−2x2+x2−2x
=x3−x2−2x
Our polynomial is: x3−x2−2x
Since we created our own polynomial from factors, now we know that this polynomial factors as
x3−x2−2x=x(x+1)(x−2)
You can combine x with x + 1, and later x with x - 2, and have two other forms of the polynomial: x3−x2−2x=(x2+x)(x−2)
x3−x2−2x=(x2−2x)(x+1)

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