Question

Which factor do 64x2 + 48x + 9 and 64x2 – 9 have in common?64x28x + 98x - 38x + 3

Answer 1

Given the polynomials:

`\text{ 64x}^2+48x+9and64x^2-9`

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:

`\begin{gathered} 64x^2+48x+9 \\ \\ =(8x+3)^2 \end{gathered}`
`\begin{gathered} 64x^2-9 \\ \\ =(8x+3)(8x-3) \end{gathered}`

Thus, we have the factors:

`(8x+3)^2\text{and}(8x+3)(8x-3)`

Therefore, the common factor is:

(8x+3)

ANSWER:

(8x+3)