### 3 Answers

One way is to work backwards.

Start with a polynomial that isn’t factorable:

3x + 5

Then multiply it by a common factor — anything you like. I’m going to pick 7x²

7x²(3x + 5)

Then also expand it out by distributing:

21x^3 + 35x²

Form 1:

21x^3 + 35x² – unfactored

Form 2:

7x²(3x + 5) – factored with GCF of 7x² brought to the front

Update:

You could also multiply two binomials and make a quadratic.

Example:

(7x + 2)(3x + 5)

7x(3x + 5) + 2(3x + 5)

= 21x² + 35x + 6x + 10

= 21x² + 41x + 10

I don’t understand the question. “GCF” stands for greatest COMMON factor, and you can’t have a common factor unless you have at least two polynomials for the factor to be common to.

Is part of the question missing?