# Determine if a Polynomial -6/10+13/20-3/5

-610+1320-35
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.
Cancel the common factor of 6 and 10.
Factor 2 out of 6.
-2(3)10+1320-35
Cancel the common factors.
Factor 2 out of 10.
-2⋅32⋅5+1320-35
Cancel the common factor.
-2⋅32⋅5+1320-35
Rewrite the expression.
-35+1320-35
-35+1320-35
-35+1320-35
Combine fractions with similar denominators.
-3-35+1320
Simplify the expression.
Subtract 3 from -3.
-65+1320
Move the negative in front of the fraction.
-65+1320
-65+1320
To write -65 as a fraction with a common denominator, multiply by 44.
-65⋅44+1320
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
Multiply 65 and 44.
-6⋅45⋅4+1320
Multiply 5 by 4.
-6⋅420+1320
-6⋅420+1320
Combine the numerators over the common denominator.
-6⋅4+1320
Simplify the numerator.
Multiply -6 by 4.
-24+1320
-1120
-1120
Move the negative in front of the fraction.
-1120
-1120
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 -6/10+13/20-3/5