Algebra Examples

$(2 x^{4} + x^{3} - 4 x^{2} + 3) + (4 x^{4} - 2 x^{3} - x^{2} + 10 x + 2)$

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 $2 x^{4}$ and $4 x^{4}$ .

$6 x^{4} + x^{3} - 4 x^{2} + 3 - 2 x^{3} - x^{2} + 10 x + 2$

Step 3

Subtract $2 x^{3}$ from $x^{3}$ .

$6 x^{4} - x^{3} - 4 x^{2} + 3 - x^{2} + 10 x + 2$

Step 4

Subtract $x^{2}$ from $- 4 x^{2}$ .

$6 x^{4} - x^{3} - 5 x^{2} + 3 + 10 x + 2$

Step 5

Add $3$ and $2$ .

$6 x^{4} - x^{3} - 5 x^{2} + 10 x + 5$