How do you factor the trinomial #2x^2+20x+50#?

1 Answer
Andrew I.
Mar 2, 2016

#=2(x+5)^2#

Explanation:

We see that #2# is a common factor among all of the coefficients so we can factor #2# to the front giving us:

#2(x^2+10x+25)#

We now need 2 numbers which add to give #10# and multiply to give #25# (or use the quadratic formula). These 2 numbers will be #5# and #5# (#5+5=10, 5*5=25#). So we get:

#2(x+5)(x+5)#
#=2(x+5)^2#

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