# Chapter 10 - Section 10.3 - Finding Binomial Factors - Exercise - Page 350: 69

$(x+15)^2$

#### Work Step by Step

$x^2+30x+225$ has no common monomial factors. =$(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$ =$(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$ =$(x+\ \ )(x+\ \ )$ All terms in the trinomial are positive. =$(x+15)(x+15)$ 15 and 15 have a sum of 30 and a product of 225. Since $x+15$ is repeated as a factor it is written as an exponent.

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