describe the four types of terms for polynomials

Question

Intermediate Algebra /

Answer 1

I am not sure that I understood this question, but I decided to list four aspects or ways of categorizing polynomials...I hope this helps.

 

1) Number of terms in the polynomial: Monomial, binomial, trinomial, etc.

 

2) Degree of the polynomial: The value of the highest power in the polynomial

 

3) Classification by degree: Linear if it has degree 1, quadratic if it has degree 2, cubic if it has degree three, etc.

 

4) Coefficients: The values of the multipliers of the variables in the polynomial. For example, in the quadratic binomial 2x² – (1/3)x = 2x² + (–1/3)x, the leading coefficient (the coefficient of the degree term) is 2 and the coefficient of the linear term is –1/3.

 

5) Completeness: A complete polynomial has terms of every power up to the degree. For example, a complete cubic polynomial will contain terms with third, second, first and zero power: x³ + 2x² – (1/2)x + 5 is complete, but x³ – 2x + 3 is not complete because it doesn't contain an x² term.