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F RootMath • View topic - Factoring $x^3 + bx^2 + cx + d$

Factoring $x^3 + bx^2 + cx + d$

Factoring $x^3 + bx^2 + cx + d$

Postby mike » Sat Apr 16, 2011 11:51 am

This question came from youtube.

When we factor,



where does one of the (x+6)'s go?

The (x+6) was factored out because it was common to both terms. Let's make a substitution, lets say



Then we have,



Since the y was multiplying both terms we were able to factor it out. But remember y = (x+6). So lets just plug that back in to get,

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