What is the factors for #(3x² + 4x + 1)#?

1 Answer
Alan P.
May 1, 2015

Check for integer solutions first:
Can we find pairs one from each of the sets of factors for 3 and 1 such that the sum of the products of the pairs equals 4?

#3 =color(red)(3)xxcolor(red)(1)#
#1 = color(blue)(1)xxcolor(blue)(1)#
#(color(red)(3)xxcolor(blue)(1))+(color(red)(1)xxcolor(blue)(1)) = 4#

So
#(3x^2+4x+1)#

#= (color(red)(3)x+color(blue)(1))*(color(red)(1)x+color(blue)(1))#

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