Write in Standard Form -3(x-4)(x+2)

$- 3 (x - 4) (x + 2)$

Step 1

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

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

Step 2

Simplify by multiplying through.

Apply the distributive property.

$(- 3 x - 3 \cdot - 4) (x + 2)$

Multiply $- 3$ by $- 4$ .

$(- 3 x + 12) (x + 2)$

Step 3

Expand $(- 3 x + 12) (x + 2)$ using the FOIL Method.

Apply the distributive property.

$- 3 x (x + 2) + 12 (x + 2)$

Apply the distributive property.

$- 3 x \cdot x - 3 x \cdot 2 + 12 (x + 2)$

Apply the distributive property.

$- 3 x \cdot x - 3 x \cdot 2 + 12 x + 12 \cdot 2$

Step 4

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$- 3 (x \cdot x) - 3 x \cdot 2 + 12 x + 12 \cdot 2$

Multiply $x$ by $x$ .

$- 3 x^{2} - 3 x \cdot 2 + 12 x + 12 \cdot 2$

Multiply $2$ by $- 3$ .

$- 3 x^{2} - 6 x + 12 x + 12 \cdot 2$

Multiply $12$ by $2$ .

$- 3 x^{2} - 6 x + 12 x + 24$

Add $- 6 x$ and $12 x$ .

$- 3 x^{2} + 6 x + 24$