Worksheet: Degree and Coefficient of Polynomials
In this worksheet, we will practice determining the degree of a polynomial and using the terminology associated with polynomials, such as terms, coefficients, and constants.
Q1:
Determine the degree of .
- Athird degree
- Bsecond degree
- Cfirst degree
- Dfourth degree
Q4:
What is the degree of the expression ?
Q5:
How many terms are in the expression ?
- AOne
- BTwo
- CFour
- DNone
- EThree
Q6:
If the degree of is the same as that of , what is the value of ?
Q7:
What is the constant term in the expression ?
Q8:
What is the constant term in the expression ?
Q10:
How many terms are in the expression ?
Q11:
Complete the following table.
| Algebraic Expressions | Variables | Numbers | Operations |
|---|---|---|---|
| ? | ? | ? |
- Avariables: , , , numbers: 6, 7, 16, operations: subtraction, addition
- Bvariables: , , , numbers: 6, 7, 16, operations: multiplication, subtraction, addition
- Cvariables: 6, 7, 16, numbers: , , , operations: multiplication, subtraction, addition
- Dvariables: 6, 7, 16, numbers: , , , operations: subtraction, addition
- Evariables: , , , numbers: 6, 7, 16, operations: multiplication, addition
Q12:
What is the constant in the expression ?
Q13:
What is the constant in the expression ?
Q14:
How many terms are there in ?
Q15:
What terminology do we use to describe the 5 in the expression ?
- Aa quotient
- Ba factor
- Ca variable
- Da coefficient
- Ea constant
Q16:
What do we call in the expression ?
- Aan quotient
- Ba coefficient
- Ca factor
- Da term
- Ea constant
Q17:
An animal shelter cares for cats and dogs. All of the animals at the center eat canned food. Every day, each cat eats 2 cans of food, and each dog eats 3 cans of food. Let the number of cats at the center be , and let the number of dogs be . The total number of tins of food required every day at the center is represented by the equation
Which term represents the number of tins of food eaten by the cats?
- A
- B
- C
Q18:
Complete the following table.
| Algebraic Expressions | Variables | Numbers | Operations |
|---|---|---|---|
| ? | ? | ? |
- Avariables: , , numbers: 14, 11, operations: multiplication, addition
- Bvariables: , , numbers: 14, 11, operations: multiplication
- Cvariables: 14, 11, numbers: , , operations: addition
- Dvariables: 14, 11, numbers: , , operations: multiplication, addition
- Evariables: , , numbers: 14, 11, operations: addition
Q19:
Complete the table below.
| Algebraic Expression | Variables | Numbers | Operations |
|---|---|---|---|
| ? | ? | ? |
- AVariables: , , , Numbers: 9, 4, 3, 16, Operations: multiplication, division, addition, subtraction
- BVariables: 9, 4, 3, 16, Numbers: , , , Operations: multiplication, division, addition, subtraction
- CVariables: , , , Numbers: 9, 4, 3, 16, Operations: multiplication, addition, subtraction
- DVariables: 9, 4, 3, 16, Numbers: , , , Operations: division, addition, subtraction
- EVariables: , , , Numbers: 9, 4, 3, 16, Operations: division, addition, subtraction
Q20:
What is the variable in the expression ?
- A80
- B6
- C
Q21:
How many terms are there in ?
Q23:
Choose the answer that makes the following statement true: The expression consists of factors, and each factor consists of terms.
- A6, 3
- B2, 3
- C3, 6
- D3, 2
- E3, 3
Q24:
What does the expression consist of?
- A2 terms of 1 factors
- B1 terms of 2 factors
- C1 terms of 1 factors
- D2 terms of 2 factors
- E2 terms of 3 factors
Q25:
What does the expression consist of?
- A2 terms of 3 factors
- B2 terms of 1 factors
- C3 terms of 2 factors
- D2 terms of 2 factors
- E3 terms of 1 factors