Polynomials in Algebra

Polynomials are defined as a finite sum of terms, with only nonnegative integer exponents placed on the variables. A variable is a letter or symbol used to represent an element form a given set. They generally represent real numbers, unless notified.

Monomial is a single term polynomial
Binomial contains exactly two terms
Trinomial contains exactly two terms

Here are certain properties that algebra students should study:

Difference of Two Squares

(x + y)(x – y) =  x² + y²

Square of a Binomial

(x + y)² = x² + 2xy + y²

(x - y)² = x² – 2xy + y²

Cube of a Binomial

(x + y)³ = x³ + 3x²y + 3xy² + y³

(x – y)³ = x³ – 3x²y + 3xy² – y³

Polynomials - Back to Learn Algebra
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