Algebraic expressions with their variables having whole numbers as exponents or powers are called polynomials.
Some possibilities while multiplying polynomials
• Monomial × Monomial
• Monomial × Binomial
• Monomial × Trinomial
• Binomial × Binomial
• Binomial × Trinomial
The product of monomials is equal to the product of their coefficients multiplied by the product of their variables.
Product of Monomials = Product of Coefficients x Product of Variables.
Steps to multiply polynomials
1. Apply the distributive law to reduce the multiplication of expressions to products of monomials.
2. Add the powers of the variable, if a variable is multiplied with itself.
3. Add the like terms in the product.
a x (b + c) = (a x b) + (a x c)