Write in Standard Form (x+2)^2=0

${(x + 2)}^{2} = 0$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c = 0$

Step 2

Rewrite ${(x + 2)}^{2}$ as $(x + 2) (x + 2)$ .

$(x + 2) (x + 2) = 0$

Step 3

Expand $(x + 2) (x + 2)$ using the FOIL Method.

Apply the distributive property.

$x (x + 2) + 2 (x + 2) = 0$

Apply the distributive property.

$x \cdot x + x \cdot 2 + 2 (x + 2) = 0$

Apply the distributive property.

$x \cdot x + x \cdot 2 + 2 x + 2 \cdot 2 = 0$

Step 4

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 2 + 2 x + 2 \cdot 2 = 0$

Move $2$ to the left of $x$ .

$x^{2} + 2 \cdot x + 2 x + 2 \cdot 2 = 0$

Multiply $2$ by $2$ .

$x^{2} + 2 x + 2 x + 4 = 0$

Add $2 x$ and $2 x$ .

$x^{2} + 4 x + 4 = 0$

Step 5