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

1 Answer
EZ as pi
May 13, 2016

#(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)#

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