1. part i: the degree of a polynomial is the (greatest / least) of the degrees of its terms. (circle the term

that correctly completes this definition.) (1 point)

part ii: in order to write a polynomial in descending order, you must write the terms with the exponents

(decreasing / increasing) from left to right. (circle the term that correctly completes this rule.) (1 point)

part iii: for each polynomial, determine the degree and write the polynomial in descending order.

(4 points: 2 points each)

a. -4x² - 12 + 11x

b. 2x3 + 14 - 3x + 7x+ 3x3

Part I:  The degree of a polynomial is the greatest of the degrees of its terms.

Part II:  In order to write a polynomial in descending order, you must write the terms with the exponents  decreasing from left to right.

Part III: A. -4x² + 11x - 12, degree = 2,

B. 5x³ + 4x + 14, degree = 3.

Step-by-step explanation:

Part I : Since, the degree of a polynomial is the highest power of its monomials ( single term ),

eg : degree of is 5.

Thus, in part I, the correct option is 'greatest'

Part II : When we write a polynomial then we write the terms of the polynomial in descending order of their degrees.

Thus, in part II the correct option is 'least'

Part III : A.

∵ -4x² has the highest power in the polynomial.

⇒ Degree = 2,

Also, in the polynomial descending order of degrees,

2 > 1 > 0

⇒ polynomial in descending order,

B.

Combining like terms,

∵ 5x³ has the highest degree,

⇒ Degree = 3,

Also, the order of the degrees in the polynomial is,

3 < 2 < 1 < 0

Thus, the polynomial in descending order,