Given the polynomials:
[tex]\text{ 64x}^2+48x+9and64x^2-9[/tex]Let's find the common factor of both polynomials.
To find the common factor of the polynomials, let's factor each polynomial
Any factor present in both polynomials is the common factor
We have:
[tex]\begin{gathered} 64x^2+48x+9 \\ \\ =(8x+3)^2 \end{gathered}[/tex][tex]\begin{gathered} 64x^2-9 \\ \\ =(8x+3)(8x-3) \end{gathered}[/tex]Thus, we have the factors:
[tex](8x+3)^2\text{and}(8x+3)(8x-3)[/tex]Therefore, the common factor is:
(8x+3)
ANSWER:
(8x+3)
