Algebra Examples

$(- 5 x^{4} + 6 x^{3} - 43) + (6 x^{5} - x^{2} + 12 x + 12)$

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

Add $- 43$ and $12$ .

$- 5 x^{4} + 6 x^{3} + 6 x^{5} - x^{2} + 12 x - 31$

Step 3

Move $6 x^{3}$ .

$- 5 x^{4} + 6 x^{5} + 6 x^{3} - x^{2} + 12 x - 31$

Step 4

Reorder $- 5 x^{4}$ and $6 x^{5}$ .

$6 x^{5} - 5 x^{4} + 6 x^{3} - x^{2} + 12 x - 31$