Easy Algebra Step-by-Step

Simplifying Polynomial Expressions 105

Solution

a. 522 ()− 5

Step 1. Check whether the expression meets the criteria for a polynomial

expression.

(^522) ()− 5 is composed of polynomials and contains permissible
components, so it is a polynomial expression.
b. −+ 8 5 −
2
xy^3227
x
Step 1. Check whether the expression meets the criteria for a polynomial
expression.
−+ 8 −

5

2

xy^3227

x

is not a polynomial expression because it contains

division by 2 x^2.

c. () 21 x (^1) () 343 x +()xx− 12
Step 1. Check whether the expression meets the criteria for a polynomial
expression.
2
()^21 x^1 ()^343 x +()xx−^1 is composed of polynomials and contains
permissible components, so it is a polynomial expression.
d. 45 ()^3232 y 5 (()y^11
Step 1. Check whether the expression meets the criteria for a polynomial
expression.
(^45) ()xy^3255 ()xyx+ −^1 is not a polynomial expression because it is
not composed of polynomials.
e. xy
xy
(^22) y
(^22) y
Step 1. Check whether the expression meets the criteria for a polynomial
expression.
xy
xy
22
22

• is not a polynomial expression because it contains division
  by a polynomial.