# Determine if a Polynomial ((g+2)/(3g-1))÷((g^2+2g)/(6g+2))

g+23g-1÷g2+2g6g+2
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 divide by a fraction, multiply by its reciprocal.
g+23g-1⋅6g+2g2+2g
Factor 2 out of 6g+2.
Factor 2 out of 6g.
g+23g-1⋅2(3g)+2g2+2g
Factor 2 out of 2.
g+23g-1⋅2(3g)+2(1)g2+2g
Factor 2 out of 2(3g)+2(1).
g+23g-1⋅2(3g+1)g2+2g
g+23g-1⋅2(3g+1)g2+2g
Factor g out of g2+2g.
Factor g out of g2.
g+23g-1⋅2(3g+1)g⋅g+2g
Factor g out of 2g.
g+23g-1⋅2(3g+1)g⋅g+g⋅2
Factor g out of g⋅g+g⋅2.
g+23g-1⋅2(3g+1)g(g+2)
g+23g-1⋅2(3g+1)g(g+2)
Cancel the common factor of g+2.
Factor g+2 out of g(g+2).
g+23g-1⋅2(3g+1)(g+2)g
Cancel the common factor.
g+23g-1⋅2(3g+1)(g+2)g
Rewrite the expression.
13g-1⋅2(3g+1)g
13g-1⋅2(3g+1)g
Multiply 13g-1 and 2(3g+1)g.
2(3g+1)(3g-1)g
Reorder factors in 2(3g+1)(3g-1)g.
2(3g+1)g(3g-1)
2(3g+1)g(3g-1)
Determine if the expression breaks any of the rules.
Breaks rule 2
Determine if the expression is a polynomial.
Not a polynomial
Determine if a Polynomial ((g+2)/(3g-1))÷((g^2+2g)/(6g+2))

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