Step 1

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.

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.