34+56

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, …).

To write 34 as a fraction with a common denominator, multiply by 33.

34⋅33+56

To write 56 as a fraction with a common denominator, multiply by 22.

34⋅33+56⋅22

Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.

Multiply 34 and 33.

3⋅34⋅3+56⋅22

Multiply 4 by 3.

3⋅312+56⋅22

Multiply 56 and 22.

3⋅312+5⋅26⋅2

Multiply 6 by 2.

3⋅312+5⋅212

3⋅312+5⋅212

Combine the numerators over the common denominator.

3⋅3+5⋅212

Simplify the numerator.

Multiply 3 by 3.

9+5⋅212

Multiply 5 by 2.

9+1012

Add 9 and 10.

1912

1912

1912

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 3/4+5/6