Division of Polynomials by Monomial
Divide [tex] \frac{9x^2y+12x^3y^2-15xy^3}{6xy} [/tex]
1.) If you are dividing by a monomial, you can split the problem into pieces by putting each term in the numerator over the denominator.
[tex] \frac{9x^2y}{6xy}+ \frac{12x^3y^2}{6xy}- \frac{15xy^3}{6xy} [/tex]
2.) Simplify each term. Use the rules for exponents to simplify the variables in each term and reduce the fractions.
= [tex] \frac{3x}{2}+2x^{2}y-\frac{5y^2}{2} [/tex]
