In this problem: x^2+12x+36? I don't get the whole"perfect square" thing so if anyone can help understand it. I would appriciate it.
2006-12-06 14:54:03 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
x^2+12x+36 the original problem
then you take the perfect square of the end terms x^2 and 36
you get x and 6 right?
then you put it in the expression like this
(x+6)^2
to check you multiply 6 and x you get 6x then multiply by two and you get 12x
i hope this helps you so the answer is (x+6)^2
2006-12-06 15:00:50 · answer #1 · answered by Alexis 2 · 1⤊ 0⤋
x^2+12x+36 is indeed a perfect square. What that means is that it has 2 identical factors. In this case, (x + 6) (x + 6) or (x + 6)^2
2006-12-06 22:57:44 · answer #2 · answered by NvestR3322 2 · 0⤊ 0⤋
x^2+12x+36
(x+6)^2 yes,it's a perfect square
(a+b)^2=a^2+2ab+b^2
anything of this form is a perfect square. In this case,
a=x & b=6
2006-12-06 22:57:13 · answer #3 · answered by yupchagee 7 · 0⤊ 0⤋
normally if in ax^2 + bx + c, if twice the sqrt of c is b, then you have a perfect square root.
x^2 + 12x + 36 = (x + 6)^2
2006-12-06 23:08:28 · answer #4 · answered by Sherman81 6 · 0⤊ 0⤋
If a polynomial of degree 2 has the form
x^2 + 2ax + a^2
For some number a.
Then it is factorable into (x+a)^2
That is, it is a perfect square.
2006-12-06 22:56:54 · answer #5 · answered by Raven 2 · 0⤊ 0⤋