-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 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

Add -7 and 15.

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)