back to *Algebra*
# Exponents and Polynomial Multiplication

### Positive Integral Exponents

### Example

### Exponents Property of Multiplication

### Example

### Exponents Property of Power of a Power

### Example

### Exponents Property of Power of a Product

### Example

### Exponents Property of Power of a Quotient

### Example

### Exponents Property of Division

### Example

### Zero as an Exponent

### Example

### Negative Integer Exponents

### Example

### Product of two Monomials

### Example

### Product of Monomial and Polynomial

### Example

### Product of Two Polynomials

### Example

### The law of a square minus b square

### Example

### Square a Binomial

### Example

### Special Products

### Example

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.

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.

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.

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

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.