Appendix

 

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Enhance Your Understanding

 

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Glossary

Unit 5: Polynomials

Binomial A polynomial with two terms

Coefficient The numerical part of a monomial; the coefficients of 4 x,− x3 y2 , and −5 are 4, −1, and −5, respectively

Degree of a Polynomial The highest degree of the polynomial's terms

Degree of a Term The sum of the exponents on the variables of that term

Difference of Squares A perfect square subtracted from another perfect square

Distributive Property A rule that states a(b + c) = ab + ac; for example, 4(10 + 6) = (4)(10) + (4)(6)

Factoring a Polynomial The decomposition of a polynomial into a product of its factors, which when multiplied together give the original polynomial

Factors Two or more numbers or expressions that are multiplied to give a product

Greatest Common Factor (GCF) of Polynomials The polynomial of highest degree and largest coefficient that is a factor of all of the terms in the original polynomial

Like Terms Terms with the same variable(s) (with the same exponent(s))

Monomial A single-term algebraic expression that is the product of numbers and variables with whole number exponents; −5 x2, 3 xy3, and −7 x are monomials

Perfect-Square Trinomial A trinomial that is formed by squaring a binomial

Polynomial A sum of one or more monomials; −4 x3 and x2 + 4 x − 19 are polynomials

Term A summand of a polynomial; the polynomial 3 x2 + 12x − 7 includes the terms 3 x2, 12 x, and −7

Trinomial A polynomial with three terms

 

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