Write in Standard Form (-3x+4)(2x-1)

$(- 3 x + 4) (2 x - 1)$

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

Expand $(- 3 x + 4) (2 x - 1)$ using the FOIL Method.

Apply the distributive property.

$- 3 x (2 x - 1) + 4 (2 x - 1)$

Apply the distributive property.

$- 3 x (2 x) - 3 x \cdot - 1 + 4 (2 x - 1)$

Apply the distributive property.

$- 3 x (2 x) - 3 x \cdot - 1 + 4 (2 x) + 4 \cdot - 1$

Step 3

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$- 3 \cdot 2 x \cdot x - 3 x \cdot - 1 + 4 (2 x) + 4 \cdot - 1$

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

Move $x$ .

$- 3 \cdot 2 (x \cdot x) - 3 x \cdot - 1 + 4 (2 x) + 4 \cdot - 1$

Multiply $x$ by $x$ .

$- 3 \cdot 2 x^{2} - 3 x \cdot - 1 + 4 (2 x) + 4 \cdot - 1$

Multiply $- 3$ by $2$ .

$- 6 x^{2} - 3 x \cdot - 1 + 4 (2 x) + 4 \cdot - 1$

Multiply $- 1$ by $- 3$ .

$- 6 x^{2} + 3 x + 4 (2 x) + 4 \cdot - 1$

Multiply $2$ by $4$ .

$- 6 x^{2} + 3 x + 8 x + 4 \cdot - 1$

Multiply $4$ by $- 1$ .

$- 6 x^{2} + 3 x + 8 x - 4$

Add $3 x$ and $8 x$ .

$- 6 x^{2} + 11 x - 4$