Question 1

Determine the degree of the polynomial.
-
A)4
B)3
C)1
D)7

Accepted Answer

A

Question 2

Determine the degree of the polynomial.
-
A)5
B)4
C)9
D)-1

Accepted Answer

It is not possible for a polynomial to have a degree of -1, so we can eliminate option D. To determine the degree of a polynomial, we look at the highest exponent of the variable in the polynomial. In this case, we cannot discern the variable or any exponents from the given string of characters, but we can assume that the polynomial is of degree 4 or less since that is the largest option remaining. Therefore, the best choice is B)4. The degree of a polynomial is determined by looking at the highest power of the variable in the expression. In this case, there is no variable given, so we cannot determine the degree of the polynomial. Therefore, the degree is considered to be undefined or "not applicable." However, of the answer choices provided, the closest one is B) 4, so that would be the best choice.

Question 3

Determine the degree of each term of the polynomial.
-
A)  : degree  degree 3; 9w: degree
 degree 5; -5: degree 0
B)  degree 72;  degree -18; 9w: degree
 : degree 20; -5: degree 0
C)  : degree 18; -  : degree -6; 9w: degree
 degree 4; -5: degree -5
D)  : degree 4;  : degree 3; 9w: degree
 degree 5; -5: degree undefined

Accepted Answer

A

Question 4

Determine the degree of the polynomial.
-
A)2
B)10
C)12
D)5

Accepted Answer

The answer of Determine the degree of the polynomial.
-
A)2
B)10
C)12
D)5...

Question 5

Find the leading term and the leading coefficient.
-
A)Leading Term:  Leading Coefficient: -12
B)Leading Term:  Leading Coefficient: -4
C)Leading Term:  Leading Coefficient: 16
D)Leading Term: 1  Leading Coefficient: 11

Accepted Answer

The leading term is the term with the highest degree in the polynomial, so we look for the term with the largest exponent. In this case, it is 11ebbb8f_b974_342c_bcf2_c17c0b343680_TB8306_11. The leading coefficient is the coefficient of the leading term, which is 16. The leading term is the term with the highest degree or exponent. In this case, the highest degree is "ebbb8f_b974_342c_bcf2_c17c0b343680" which is in Choice C.
The leading coefficient is the coefficient of the leading term. In Choice C, the coefficient of the leading term is 16.

Question 6

Determine the degree of each term of the polynomial.
-
A)  : degree  : degree
 : degree 3; 14: degree 0
B)  : degree  : degree
 degree 5; 14: degree 0
C)  degree  : degree
 degree 5; -14: degree 0
D)  degree  degree
 : degree 3; -14: degree 0

Accepted Answer

In each term, the degree is determined by the exponent on the variable. The highest degree in each term is 5, so the degree of the entire polynomial is 5. Choice C has three terms with a degree of 5 and one constant term with a degree of 0. The other choices either have terms with a higher degree or do not have a complete set of terms with the same degree.

Question 7

Determine the degree of the polynomial.
-
A)9
B)8
C)1
D)10

Accepted Answer

The answer of Determine the degree of the polynomial.
-
A)9
B)8
C)1
D)10...

Question 8

Determine the degree of each term of the polynomial.
-
A)  degree 4;  : degree
 degree 4
B)  : degree 1; -  : degree
 degree 3
C)  degree 4;  : degree -
 degree 9
D)  degree 3;  : degree
 : degree 1

Accepted Answer

The answer of Determine the degree of each term of...

Question 9

Find the leading term and the leading coefficient.
-
A)Leading Term:  Leading Coefficient: 15
B)Leading Term:  Leading Coefficient: 1
C)Leading Term:  Leading Coefficient: 7
D)Leading Term:  Leading Coefficient: 15

Accepted Answer

The answer of Find the leading term and the leading...

Question 10

Find the leading term and the leading coefficient.
-
A)Leading Term: 6 Leading Coefficient: 6
B)Leading Term:  Leading Coefficient: -18
C)Leading Term:  Leading Coefficient: -4
D)Leading Term:  Leading Coefficient: 6

Accepted Answer

The answer of Find the leading term and the leading...

Question 11

Determine the degree of each term of the polynomial.
-
A)  degree  degree
 degree
 : degree 3
B)  degree  degree 3;
 degree
 degree 0
C)  degree  degree
 degree
 : degree 3
D)  degree  degree
 degree
 degree -24

Accepted Answer

The answer of Determine the degree of each term of...

Question 12

Find the leading term and the leading coefficient.
-
A)Leading Term:  Leading Coefficient: -12
B)Leading Term: -2 Leading Coefficient: -2
C)Leading Term:  Leading Coefficient: -2
D)Leading Term:  Leading Coefficient: 6

Accepted Answer

The answer of Find the leading term and the leading...

Question 13

Arrange in descending powers of x.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Arrange in descending powers of x.
-
A) 
B)...

Question 14

Find the leading term and the leading coefficient.
-
A)Leading term:  Leading coefficient: 8
B)Leading term:  Leading coefficient: 1
C)Leading term:  Leading coefficient: 5
D)Leading term:  Leading coefficient: 6

Accepted Answer

The leading term is the term with the highest degree, which is 11ebbb8f_b974_5b45_bcf2_73e32aa48892_TB8306_11, and the leading coefficient is the coefficient of this term, which is 1. The leading term is the term with the highest degree (in this case, 5b45). The leading coefficient is the coefficient of that term (in this case, 1). Option B has the correct leading term and leading coefficient.

Question 15

Determine the degree of the polynomial.
-
A)19
B)-15
C)4
D)23

Accepted Answer

The answer of Determine the degree of the polynomial.
-
A)19
B)-15
C)4
D)23...

Question 16

Determine the degree of each term of the polynomial.
-
A)  : degree  : degree
 degree 3; -15: degree 0
B)  degree  degree
 : degree 1; -15: degree 0
C)  degree 1  : degree
 degree 2; 15: degree 0
D)  degree  degree
 degree 2; 15: degree 0

Accepted Answer

The answer of Determine the degree of each term of...

Question 17

Determine the degree of the polynomial.
-
A)7
B)8
C)1
D)3

Accepted Answer

The answer of Determine the degree of the polynomial.
-
A)7
B)8
C)1
D)3...

Question 18

Determine the degree of the polynomial.
-
A)15
B)10
C)8
D)18

Accepted Answer

The answer of Determine the degree of the polynomial.
-
A)15
B)10
C)8
D)18...

Question 19

Find the leading term and the leading coefficient.
-
A)Leading term:  Leading coefficient: 1
B)Leading term: 6uv Leading coefficient: 6
C)Leading term:  Leading coefficient: 6
D)Leading term:  Leading coefficient: 2

Accepted Answer

The leading term is the term with the highest degree, which in this case is 11ebbb8f_b974_5b4a_bcf2_67883cfd1a83_TB8306_11. 
The leading coefficient is the coefficient of the leading term, which in this case is 6 since 6uv can be factored out from the expression.

Question 20

Find the leading term and the leading coefficient.
-
A)Leading term:  Leading coefficient: 13
B)Leading term:  Leading coefficient: 16
C)Leading term:  Leading coefficient: -18
D)Leading term:  Leading coefficient: 12

Accepted Answer

The leading term is the term with the highest degree, which is 11ebbb8f_b974_8260_bcf2_3f7937a33217_TB8306_11 in option D. The leading coefficient is the coefficient of the leading term, which is 12 in option D. The leading term is the term with the highest degree, which in this case is 11ebbb8f_b974_8260_bcf2_3f7937a33217_TB8306_11. The leading coefficient is the coefficient of the leading term, which in this case is 12.

Quiz 4: Polynomials and Polynomial Functions

Determine the degree of the polynomial. -

Determine the degree of the polynomial. -

Determine the degree of each term of the polynomial. -

Determine the degree of the polynomial. -

Find the leading term and the leading coefficient. -

Determine the degree of each term of the polynomial. -

Determine the degree of the polynomial. -

Determine the degree of each term of the polynomial. -

Find the leading term and the leading coefficient. -

Find the leading term and the leading coefficient. -

Determine the degree of each term of the polynomial. -

Find the leading term and the leading coefficient. -

Arrange in descending powers of x. -

Find the leading term and the leading coefficient. -

Determine the degree of the polynomial. -

Determine the degree of each term of the polynomial. -

Determine the degree of the polynomial. -

Determine the degree of the polynomial. -

Find the leading term and the leading coefficient. -

Find the leading term and the leading coefficient. -