Write in Standard Form -3x(4x-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.

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

Simplify the expression.

Rewrite using the commutative property of multiplication.

$- 3 \cdot 4 x \cdot x - 3 x \cdot - 2$

Multiply $- 2$ by $- 3$ .

$- 3 \cdot 4 x \cdot x + 6 x$

Step 3

Simplify each term.

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

Move $x$ .

$- 3 \cdot 4 (x \cdot x) + 6 x$

Multiply $x$ by $x$ .

$- 3 \cdot 4 x^{2} + 6 x$

Multiply $- 3$ by $4$ .

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