Write in Standard Form -2x(3x-4)+7x

$- 2 x (3 x - 4) + 7 x$

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

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

Simplify each term.

Apply the distributive property.

$- 2 x (3 x) - 2 x \cdot - 4 + 7 x$

Rewrite using the commutative property of multiplication.

$- 2 \cdot 3 x \cdot x - 2 x \cdot - 4 + 7 x$

Multiply $- 4$ by $- 2$ .

$- 2 \cdot 3 x \cdot x + 8 x + 7 x$

Simplify each term.

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

Move $x$ .

$- 2 \cdot 3 (x \cdot x) + 8 x + 7 x$

Multiply $x$ by $x$ .

$- 2 \cdot 3 x^{2} + 8 x + 7 x$

Multiply $- 2$ by $3$ .

$- 6 x^{2} + 8 x + 7 x$

Add $8 x$ and $7 x$ .

$- 6 x^{2} + 15 x$