Question

In the popynmial, what would C need to be so that it is perfect square trinomial and factors down into a binomial squared? X^2+12x+C

Answer 1

C = 6

Explanation:

`\text{Perfect square:}\ (a+b)^2=a^2+2ab+b^2\\\\x^2+12x\\\Downarrow\\x^2+2(x)(6)\\\Downarrow\\x^2+2(x)(6)+6^2=(x+6)^2`