Question

How do you factor `20x^2 - 41x + 20`?

Answer 1

`(4x - 5)(5x - 4) " "16+25 = 41`

Explanation:

`color(red)(20)x^2 color(brown)(-) color(blue)(41)x color(teal)(+) color(orange)(20)`

You are looking for the factors of `color(red)(20 ) and color(orange)(20) " which" color(teal)(" add") " together to give " color(blue)(41)`.

`"The signs in the brackets are" color(teal)( " the same"), "they are both" color(brown)(" negative").`

`(4x - 5)(5x - 4)`