Question

find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression. ​

Answer 1

1. The greatest common monomial factor is xy

2. xy(6 + 2y² + 3x²)

Explanation:

6xy + 2xy³+ 3x³y

1. Determination of the greatest common monomial (GCM) factor.

6xy + 2xy³+ 3x³y

6xy => 2 × 3 × x × y

2xy³ = 2 × x × y × y × y

3x³y = 3 × x × x × x × y

GCM => xy

2. Rewrite the expression

6xy + 2xy³+ 3x³y

GCM => xy

6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)