Algebra Examples

$f (x) = \frac{3 x}{x^{6}} + x - 7$

Step 1

Simplify the polynomial, then reorder it left to right starting with the highest degree term.

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Step 1.1

Cancel the common factor of $x$ and $x^{6}$ .

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Step 1.1.1

Factor $x$ out of $3 x$ .

$f (x) = \frac{x \cdot 3}{x^{6}} + x - 7$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $x$ out of $x^{6}$ .

$f (x) = \frac{x \cdot 3}{x \cdot x^{5}} + x - 7$

Step 1.1.2.2

Cancel the common factor.

$f (x) = \frac{x \cdot 3}{x \cdot x^{5}} + x - 7$

Step 1.1.2.3

Rewrite the expression.

$f (x) = \frac{3}{x^{5}} + x - 7$

Step 1.2

Reorder $\frac{3}{x^{5}}$ and $x$ .

$f (x) = x + \frac{3}{x^{5}} - 7$

Step 2

The degree, leading term, and leading coefficient cannot be determined because $x + \frac{3}{x^{5}} - 7$ is not a polynomial.

Not a polynomial