How do you factor the trinomial # t^2 + 13t + 40#?

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Answer 1 · 2016-01-16T12:09:46

#color(blue)((t+5))color(brown)((t+8))#

Notice that #5xx8=40# and that #5+8=13#

So we have:

#color(blue)((t+5))color(brown)((t+8))#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Check by multiplying out the brackets")#

#color(blue)(tcolor(brown)((t+8))+5color(brown)((t+8))#

#t^2+8t+5t+40#

#t^2+13t+40# This works so the solution is correct!