Question

Factor each completely ( when a is not equal to 1 )

Answer 1

Given:

`4r^2+8r-5`

Required: To factor the given expression completely.

This is explained thus:

We can factor the quadratic expression as follows:

`\begin{gathered} 4r^(2)+8r-5 \\ 4r^2+10r-2r-5 \\ (4r^2+10r)(-2r-5) \\ 2r(2r+5)-1(2r+5) \\ (2r-1)(2r+5) \end{gathered}`

Hence, the answer is:

`(2r-1)(2r+5)`