SOLUTION: Factor the trinomial as the square of a binomial, if possible. {{{ 100+20k+k^2 }}} Thank you in advance.

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Question 816115: Factor the trinomial as the square of a binomial, if possible.
+100%2B20k%2Bk%5E2+
Thank you in advance.
Found 2 solutions by algebrahouse.com, richwmiller:
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
100 + 20k + k²
k² + 20k + 100 {re-arranged into standard form}

a² + 2ab + b² is one form of a perfect square trinomial}
It factors into the form (a + b)²

k² + 20k + 100 is a perfect square trinomial.
it factors into (k + 10)²
- the first term of the binomial is the square root of k²
- the second term of the binomial is the square root of 100

For more help from me, visit: www.algebrahouse.com

Answer by richwmiller(17219) About Me  (Show Source):