Write in Standard Form (5x^3-x+2x^2+4)+(3x^2+1-4x)

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

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

Subtract $4 x$ from $- x$ .

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

Step 3

Add $2 x^{2}$ and $3 x^{2}$ .

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

Step 4

Simplify the expression.

Add $4$ and $1$ .

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

Move $- 5 x$ .

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