Question

How do you factor `5x^2+34x+24`?

Answer 1

`5x^2 +34x +24`

Find factors of `5 and 24` which cross-multiply and add up to `34`

`color(white)(.......)5" "24`
`color(white)(.....)darrcolor(white)(.....)darr`
`color(white)(.......)5" "4rarr 1 xx4 = 4`
`color(white)(.......)1" "6rarr5xx6 = ul30`
`color(white)(.......................................)34`

The signs are all positive.

`(5x+4)(x+6)`