# Determine if a Polynomial 3/4+5/6

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, …).
Simplify the expression.
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
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