# Determine if a Polynomial (-12m^9x^2)÷15m^7x^4

-12m9x2÷15m7x4
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.
Rewrite the division as a fraction.
-12m9x215m7x4
Cancel the common factor of -12 and 15.
Factor 3 out of -12m9x2.
3(-4m9x2)15m7x4
Cancel the common factors.
Factor 3 out of 15m7x4.
3(-4m9x2)3(5m7x4)
Cancel the common factor.
3(-4m9x2)3(5m7x4)
Rewrite the expression.
-4m9x25m7x4
-4m9x25m7x4
-4m9x25m7x4
Cancel the common factor of m9 and m7.
Factor m7 out of -4m9x2.
m7(-4m2x2)5m7x4
Cancel the common factors.
Factor m7 out of 5m7x4.
m7(-4m2x2)m7(5×4)
Cancel the common factor.
m7(-4m2x2)m7(5×4)
Rewrite the expression.
-4m2x25x4
-4m2x25x4
-4m2x25x4
Cancel the common factor of x2 and x4.
Factor x2 out of -4m2x2.
x2(-4m2)5×4
Cancel the common factors.
Factor x2 out of 5×4.
x2(-4m2)x2(5×2)
Cancel the common factor.
x2(-4m2)x2(5×2)
Rewrite the expression.
-4m25x2
-4m25x2
-4m25x2
Move the negative in front of the fraction.
-4m25x2
-4m25x2
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 (-12m^9x^2)÷15m^7x^4