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Exponents and Polynomial Multiplication

Positive Integral Exponents

If n is a positive integer and x is a real number, then n factors of x equals to x multiply n times, where x is the base and n is the power or the exponent.

Product of two Monomials

The product of two monomials made by regroup the coeffcients and variables, then multiplying the coefficients, and similar base by adding their exponents, if there is a variable whose similar term is not exist, then keep this variable as a factor of the product.

Product of Monomial and Polynomial

To multiply a polynomial by a monomial, multiply each term of the polynomial by the monomial. This fundamental law is known as the distributive law.

Product of Two Polynomials

To multiply polynomials by each other follow the procedure: 1. Arrange each polynomial in decending order. 2. Multiply each term of one polynomial by each term of the other polynomial. 3. Add like terms.

The law of a square minus b square

The law of a square minus b square is the products of a plus b and a minus b, in which a, b are real numbers.

Square a Binomial

The square of a binomial is the sum of the square of the first term, twice the product of the two terms, and the square of the second term.