Write in Standard Form (-5x+4)-(3x^2-7x+4)

$(- 5 x + 4) - (3 x^{2} - 7 x + 4)$

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 each term.

Apply the distributive property.

$- 5 x + 4 - (3 x^{2}) - (- 7 x) - 1 \cdot 4$

Simplify.

Multiply $3$ by $- 1$ .

$- 5 x + 4 - 3 x^{2} - (- 7 x) - 1 \cdot 4$

Multiply $- 7$ by $- 1$ .

$- 5 x + 4 - 3 x^{2} + 7 x - 1 \cdot 4$

Multiply $- 1$ by $4$ .

$- 5 x + 4 - 3 x^{2} + 7 x - 4$

Step 3

Simplify by adding terms.

Combine the opposite terms in $- 5 x + 4 - 3 x^{2} + 7 x - 4$ .

Subtract $4$ from $4$ .

$- 5 x - 3 x^{2} + 7 x + 0$

Add $- 5 x - 3 x^{2} + 7 x$ and $0$ .

$- 5 x - 3 x^{2} + 7 x$

Add $- 5 x$ and $7 x$ .

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