# Determine if a Polynomial -7/20+(3/8)÷(1/2)

-720+38÷12
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.
Simplify each term.
To divide by a fraction, multiply by its reciprocal.
-720+38⋅2
Cancel the common factor of 2.
Factor 2 out of 8.
-720+32(4)⋅2
Cancel the common factor.
-720+32⋅4⋅2
Rewrite the expression.
-720+34
-720+34
-720+34
To write 34 as a fraction with a common denominator, multiply by 55.
-720+34⋅55
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
Multiply 34 and 55.
-720+3⋅54⋅5
Multiply 4 by 5.
-720+3⋅520
-720+3⋅520
Combine the numerators over the common denominator.
-7+3⋅520
Simplify the numerator.
Multiply 3 by 5.
-7+1520
820
820
Cancel the common factor of 8 and 20.
Factor 4 out of 8.
4(2)20
Cancel the common factors.
Factor 4 out of 20.
4⋅24⋅5
Cancel the common factor.
4⋅24⋅5
Rewrite the expression.
25
25
25
25
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 -7/20+(3/8)÷(1/2)