x^2 + 6x +9 =?

Answer 1

x^2+6x+9
=(x)^2+2*x*3+(3)^2
=(x+3)^2

Answer 2

This represents a polynomial. The answer is:
(x+3)(x+3)

This is because you factor out the x^2, and you have to look at the latter number (9) along with it's sign (negative or positive) to determine the rest.

Since the middle number, 6, is positive think of what plus what could equal 6. There are many choices here (1+5, 2+4, 3+3, etc.) however the catch is you have to use numbers that can be multiplied together to equal the number at the far right (9 in this case).

Because of this, the answer can only be 3 & 3. Since everything is positive here, it's easier to answer. If the problem read: x^2-6x+9 =? the answer would be (x-3)(x-3). Remember that two negatives equals a positive, and -3 minus -3 would equal negative 6, all while equaling 9 if multiplied together.

If you want to check your final answer, simply use FOIL to double check:
(x+3)(x+3) =
x^2+3x+3x+9 =
x^2+6x+9 (verifies your answer is correct)

Good luck and I hope this helped.

Answer 3

Ok, I assume you mean this all =0.

To solve, you need to factor

(x+3) (x+3) =0 So x=-3.

Check
(-3)^2 + 6(-3) + 9 =0 ??

9 -18 +9 = 0??

18-18 = 0 YES!

Hope this helps.

Answer 4

(x + 3)^2

Answer 5

(x+3)^2

Answer 6

Hi Jessica,

I guess maybe you want to factor this polynomial?

x^2 + 6x +9 = 0 (I assume the right side of the equation is 0)

(x+3)(x+3) = 0
solution: x = -3

If you were to graph this equation, it would be an upward facing parabola with it's vertex at the point (-3, 0).

hth.

REgards,
Chas.

Answer 7

= (x + 3) (x + 3)
= (x + 3) ²

Answer 8

factored it becomes (x+3)(x+3). If the ? is 0 then the answer is -3