-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, …).

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