Question

Factor the given polynomial by finding the greatest common monomial factor and rewrite the expression. given : 3 xy^3 +2x^3y+ 9 xy

Answer 1

The greatest common factor will include the lowest power of each variable and the GCF of the coefficients.

In the expression:

`3xy^3+2x^3y+9xy`

The greatest common factor of the coefficients (3, 2, and 9) is 1.

The lowest power of the variable x is 1.

The lowest power of the variable y is 1.

Therefore, the greatest common factor is: xy.

Factor out the monomial xy from the expression:

`3xy^3+2x^3y+9xy=xy(3y^2+2x^2+9)`