Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 6≤x≤7.

One of the factors is (x + 5)

Step-by-step explanation:

Given quadratic expression is \[4x^{2}+19x-5\]

This can be rewritten as \[4x^{2}+20x-x-5\]

This can be further expressed as \[4x(x+5)-1(x+5)\]

Expressing this is a product of factors:

\[(4x-1)*(x+5)\]

So the factors of the given expression are (4x-1) and ( x+5).

Among the given options,option D , namely, One of the factors is (x + 5) is the correct option.