Good morning. The instruction to "factor out the greatest common factor" of a math expression is not the same as "factor the expression".… Factor out the greatest common factor in the following polynomial.
10x^2 + 25x + 15
These forms are what one would do, if they had been instructed to "factor the polynomial" or "completely factor the given expression", et cetera.5(2x^2 + 1)(x + 2)
5[(2x^2 + 1)(x + 2)]
To learn about finding the greatest common factor in polynomial expressions, please try here. To learn various methods for factoring quadratics, please try here.I have no idea what I am getting wrong here...
here is the problem:
3) Factor out the greatest common factor in the following polynomial.
First, they're the same thing; the only difference is that the second statement has an extra set of grouping symbols. Second, the factoring forward (that is, the "taking out front") of the Greatest Common Factor was done when the 5 was pulled out. (The first link above is a list of lessons that explain the terminology and techniques for finding and factoring out the GCF.)I tried to do two things:
both are wrong, why?
multiplication: 2x^2 + 0x + 1 1x + 2 -------------------- 4x^2 + 0x + 2 2x^3 + 0x^x + 1x -------------------- 2x^3 + 4x^2 + 1x + 2