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Polynomial
An expression consisting of variables and coefficients, involving only addition, subtraction, multiplication, and non-negative integer exponents.
Leading Coefficient
The coefficient of the term with the highest degree
Factoring by Grouping
A method for factoring polynomials with four terms by splitting them into two pairs
Monomial
A polynomial with only one term (3x^{2})
Standard Form
Writing a polynomial with terms in descending order of degree
Difference of Squares
A binomial of the form (a^2 - b^2), which factors into (a - b)(a + b)
Binomial
A polynomial with exactly two terms (x + 4)).
Constant
A term that has no variable
Perfect Square Trinomial
A trinomial that factors into a binomial squared, taking the form
Trinomial
A polynomial with exactly three terms (x^2 + 5x + 6)
Factor
A number or expression that divides another number or expression evenly
Sum
the final result.
Degree of a Polynomial
The highest exponent in the polynomial, or the highest sum of exponents in a single term
Greatest Common Factor
The largest expression that divides into every term of a polynomial
Prime Polynomial
A polynomial that cannot be factored using integer coefficients