Determine whether each statement makes sense or does not make sense, and explain your reasoning. Although \(20x^{3}\) appears in both \(20x^{3} + 8x^{2}\) and \(20x^{3} + 10x\), I’ll need to factor \(20x^{3}\) in different ways to obtain each polynomial’s factorization?

Step 2

We are given two expressions:

\(20x^{3} + 8x^{2}\)

and \(20x^{3} + 10x\)

if we factorize them,

\(20x^{3} + 8x^{2} =4x^{2}(5x+2)\)

and \(20x^{3} + 10x = 10x(2x^{2}+1)\)

We see that factorization depends on each term of the expression, so although both expressions contain one common term, because of the other term both have different ways.