Question

How do you factor `5z + 8yx + 4yz + 10x`?

Answer 1

`(5+4y)(z+2x)`

Explanation:

Given
`color(white)("XXX")5z+8yx+4yz+10x`

Recognizing the `1:2` ratio of `5:10` and `4:8`
we can regroup the terms as
`color(white)("XXX")(5z+10x)+(4yz+8yx)`
then extract common factors from each pair of terms:
`color(white)("XXX")5(z+2x)+4y(z+2x)`

Recognize the common factor: `(z+2x)`
`color(white)("XXX")(5+4y)(z+2x)`