Question

I need help with this question please. This is non graded.

Answer 1

To determine the factor of the given polynomial, first, we rewrite it as follows:

`(16x^2+4x)+(-20x-5).`

Now, notice that:

`\begin{gathered} 16x^2+4x=4x(4x^+1), \\ -20x-5=-5(4x+1). \end{gathered}`

Factoring out the 4x+1, we get:

`(16x^2+4x)+(-20x-5)=(4x-5)(4x+1).`

Answer:

`(4x+1).`