13+29⋅274

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. (2x-2,x12,…).

2. Variables in the denominator. (1x,1×2,…).

3. Variables under a radical. (x,x3,…).

4. Special features. (trig functions, absolute values, logarithms, …).

Simplify each term.

Cancel the common factor of 2.

Factor 2 out of 4.

13+29⋅272(2)

Cancel the common factor.

13+29⋅272⋅2

Rewrite the expression.

13+19⋅272

13+19⋅272

Cancel the common factor of 9.

Factor 9 out of 27.

13+19⋅9(3)2

Cancel the common factor.

13+19⋅9⋅32

Rewrite the expression.

13+32

13+32

13+32

To write 13 as a fraction with a common denominator, multiply by 22.

13⋅22+32

To write 32 as a fraction with a common denominator, multiply by 33.

13⋅22+32⋅33

Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.

Multiply 13 and 22.

23⋅2+32⋅33

Multiply 3 by 2.

26+32⋅33

Multiply 32 and 33.

26+3⋅32⋅3

Multiply 2 by 3.

26+3⋅36

26+3⋅36

Combine the numerators over the common denominator.

2+3⋅36

Simplify the numerator.

Multiply 3 by 3.

2+96

Add 2 and 9.

116

116

116

Determine if the expression breaks any of the rules.

Does not break any of the rules

Determine if the expression is a polynomial.

Polynomial

Determine if a Polynomial 1/3+2/9*27/4