How do you factor the trinomial $v^2 + 20v + 100$ ?

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Answer 1 · 2018-03-06T09:19:01

$(v+10)^2$

We must think of two numbers that have a product of 100 and a sum of 10. Thus, we can deduce that these two numbers are 10 and 10:

10+10=20
10*10=100

$(v+10)(v+10)$

Which can be summarised as:
$(v+10)^2$

How do you factor the trinomial v^2 + 20v + 100v^2 + 20v + 100?