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

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Answer 1 · 2016-05-13T22:13:24

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

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

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

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

$(4x - 5)(5x - 4)$

How do you factor 20x^2 - 41x + 2020x^2 - 41x + 20?