Algebra Examples

$f (x) = 9 x^{4} + 8 x^{3} - 6 x^{- 2} + 2 x$

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

Simplify each term.

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Step 2.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$f (x) = 9 x^{4} + 8 x^{3} - 6 \frac{1}{x^{2}} + 2 x$

Step 2.2

Combine $- 6$ and $\frac{1}{x^{2}}$ .

$f (x) = 9 x^{4} + 8 x^{3} + \frac{- 6}{x^{2}} + 2 x$

Step 2.3

Move the negative in front of the fraction.

$f (x) = 9 x^{4} + 8 x^{3} - \frac{6}{x^{2}} + 2 x$

Step 3

Move $- \frac{6}{x^{2}}$ .

$f (x) = 9 x^{4} + 8 x^{3} + 2 x - \frac{6}{x^{2}}$