1812÷5110

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, …).

Convert 1812 to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

18+125110

Add 18 and 12.

To write 18 as a fraction with a common denominator, multiply by 22.

18⋅22+125110

Combine 18 and 22.

18⋅22+125110

Combine the numerators over the common denominator.

18⋅2+125110

Simplify the numerator.

Multiply 18 by 2.

36+125110

Add 36 and 1.

3725110

3725110

3725110

3725110

Convert 5110 to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

3725+110

Add 5 and 110.

To write 5 as a fraction with a common denominator, multiply by 1010.

3725⋅1010+110

Combine 5 and 1010.

3725⋅1010+110

Combine the numerators over the common denominator.

3725⋅10+110

Simplify the numerator.

Multiply 5 by 10.

37250+110

Add 50 and 1.

3725110

3725110

3725110

3725110

Multiply the numerator by the reciprocal of the denominator.

372⋅1051

Cancel the common factor of 2.

Factor 2 out of 10.

372⋅2(5)51

Cancel the common factor.

372⋅2⋅551

Rewrite the expression.

37(551)

37(551)

Combine 37 and 551.

37⋅551

Multiply 37 by 5.

18551

18551

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 18 1/2÷5 1/10