Pre-Algebra Examples

$\frac{x^{2} - 11 x + 30}{x^{2} - 3 x - 18} \cdot \frac{x^{2} - 9}{x^{2} - 25}$

Step 1

A polynomial is a combination of terms separated using $+$ or $-$ signs. Polynomials cannot contain any of the following:

1. Variables raised to a negative or fractional exponent. ( $2 x^{- 2}$ , $x^{\frac{1}{2}}$ , $\dots$ ).

2. Variables in the denominator. ( $\frac{1}{x}$ , $\frac{1}{x^{2}}$ , $\dots$ ).

3. Variables under a radical. ( $\sqrt{x}$ , $\sqrt[3]{x}$ , $\dots$ ).

4. Special features. (trig functions, absolute values, logarithms, $\dots$ ).

Step 2

Determine if the expression breaks any of the rules.

Breaks rule $2$

Step 3

Determine if the expression is a polynomial.

Not a polynomial