Set 14: Quadratic Equations (Advanced)

Choice B is correct. Choice B is the correct answer. Check if this is a Perfect Square Trinomial $(a+b)^2 = a^2 + 2 ab + b^2$. 1. First term is $x^2$. 2. Last term is $36= 6^2$. 3. Middle term is $12x$. Does $2(x)(6) = 12 x$? Yes. Therefore, it factors to $(x + 6)^2$. Choice A is incorrect because this is the factorization for $x^2 - 36$ (Difference of Squares). Choice C is incorrect because the middle term would be $15x$. Choice D is incorrect because the middle term would be $13x$.