Algebra Examples

$f (x) = - 3 x^{3} + 2 x^{5} + x + 8 x^{3} - 6 + x^{4} - 3 x^{2}$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$f (x) = a x^{2} + b x + c$

Step 2

Add $- 3 x^{3}$ and $8 x^{3}$ .

$f (x) = 5 x^{3} + 2 x^{5} + x - 6 + x^{4} - 3 x^{2}$

Step 3

Reorder.

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Step 3.1

Move $- 6$ .

$f (x) = 5 x^{3} + 2 x^{5} + x + x^{4} - 3 x^{2} - 6$

Step 3.2

Move $x$ .

$f (x) = 5 x^{3} + 2 x^{5} + x^{4} - 3 x^{2} + x - 6$

Step 3.3

Move $5 x^{3}$ .

$f (x) = 2 x^{5} + x^{4} + 5 x^{3} - 3 x^{2} + x - 6$