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Worksheet: Degree and Coefficient of Polynomials

Q1:

Determine the coefficient and the degree of βˆ’ 7 π‘₯ 3 .

  • Acoefficient = βˆ’ 2 1 , degree = 3
  • Bcoefficient = 3 , degree = βˆ’ 7
  • Ccoefficient = βˆ’ 7 , degree = βˆ’ 2 1
  • Dcoefficient = βˆ’ 7 , degree = 3
  • Ecoefficient = 0 , degree = 3

Q2:

Determine the coefficient and the degree of βˆ’ 8 π‘₯ 2 .

  • Acoefficient = βˆ’ 1 6 , degree = 2
  • Bcoefficient = 2 , degree = βˆ’ 8
  • Ccoefficient = βˆ’ 8 , degree = βˆ’ 1 6
  • Dcoefficient = βˆ’ 8 , degree = 2
  • Ecoefficient = 0 , degree = 2

Q3:

If the degree of βˆ’ 3 π‘₯  is the same as that of 𝑧  , what is the value of 𝑛 ?

Q4:

What does the expression 2 π‘Ž 𝑏 + 3 𝑐 𝑑 consist of?

  • A3 terms of 1 factors
  • B3 terms of 2 factors
  • C2 terms of 1 factors
  • D2 terms of 3 factors
  • E2 terms of 2 factors

Q5:

Are π‘Ž 4 and 4 π‘Ž like terms?

  • Ano
  • Byes

Q6:

How many terms are in the expression 4 π‘₯ βˆ’ 𝑦 + 2 7 2 ?

  • A One
  • B Two
  • C None
  • D Three
  • EFour

Q7:

Choose the answer that makes the following statement true: The expression ( π‘₯ + 𝑦 + 𝑧 ) ( π‘Ž + 𝑏 + 𝑐 ) consists of factors, and each factor consists of terms.

  • A6, 3
  • B3, 2
  • C3, 6
  • D2, 3
  • E3, 3

Q8:

How many terms are in the expression 2 π‘₯ 𝑧 + π‘₯ 𝑦 𝑧 βˆ’ 9 π‘₯ 𝑦 βˆ’ 3 2 3 3 5 4 5 ?

Q9:

Determine the degree of 𝑦 βˆ’ 7 𝑦 4 2 .

  • Asecond degree
  • Bfirst degree
  • Cthird degree
  • Dfourth degree

Q10:

What is the degree of the expression 7 π‘₯ βˆ’ 1 2 π‘₯ + 2 2 ?

Q11:

Complete the following table.

Algebraic Expressions Variables Numbers Operations
6 𝑀 βˆ’ 7 𝑦 + 1 6 𝑠 ? ? ?
  • Avariables: 𝑀 , 𝑦 , 𝑠 , numbers: 6, 7, 16, operations: multiplication, addition
  • Bvariables: 𝑀 , 𝑦 , 𝑠 , numbers: 6, 7, 16, operations: subtraction, addition
  • Cvariables: 6, 7, 16, numbers: 𝑀 , 𝑦 , 𝑠 , operations: multiplication, subtraction, addition
  • Dvariables: 𝑀 , 𝑦 , 𝑠 , numbers: 6, 7, 16, operations: multiplication, subtraction, addition
  • Evariables: 6, 7, 16, numbers: 𝑀 , 𝑦 , 𝑠 , operations: subtraction, addition

Q12:

What is the constant in the expression 6 π‘₯ + 2 𝑦 + π‘₯ 3 ?

Q13:

What is the constant in the expression 6 π‘₯ + 2 𝑦 + π‘₯ + 4 3 ?

Q14:

What does the expression 2 π‘š + 3 𝑛 consist of?

  • A1 terms of 1 factors
  • B2 terms of 3 factors
  • C2 terms of 1 factors
  • D2 terms of 2 factors
  • E1 terms of 2 factors

Q15:

How many terms are there in 4 . 9 π‘₯ 2 ?

Q16:

If the degree of 7 π‘₯ 5 is the same as that of βˆ’ 6 𝑦 𝑛 , what is the value of 𝑛 ?

Q17:

What is the constant term in the expression 4 π‘₯ βˆ’ 𝑦 + 2 7 2 ?

Q18:

What terminology do we use to describe the 5 in the expression 9 𝑦 + 5 ?

  • Aa quotient
  • Ba variable
  • Ca factor
  • Da constant
  • Ea coefficient

Q19:

What do we call 8 π‘Ž in the expression 8 π‘Ž + 3 π‘₯ + 4 ?

  • Aan quotient
  • Ba constant
  • Ca factor
  • Da term
  • Ea coefficient

Q20:

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 𝑐 , and let the number of dogs be 𝑑 . 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 3 𝑑
  • B 𝑇
  • C 2 𝑐

Q21:

Complete the following table.

Algebraic Expressions Variables Numbers Operations
1 4 𝑑 + 1 1 𝑐 ? ? ?
  • Avariables: 𝑑 , 𝑐 , numbers: 14, 11, operations: multiplication
  • Bvariables: 𝑑 , 𝑐 , numbers: 14, 11, operations: addition
  • Cvariables: 14, 11, numbers: 𝑑 , 𝑐 , operations: multiplication, addition
  • Dvariables: 𝑑 , 𝑐 , numbers: 14, 11, operations: multiplication, addition
  • Evariables: 14, 11, numbers: 𝑑 , 𝑐 , operations: addition

Q22:

Complete the table below.

Algebraic Expression Variables Numbers Operations
9 π‘₯ 𝑦 Γ· 4 + 3 π‘š βˆ’ 1 6 ? ? ?
  • AVariables: π‘₯ , 𝑦 , π‘š , Numbers: 9, 4, 3, 16, Operations: multiplication, addition, subtraction
  • BVariables: π‘₯ , 𝑦 , π‘š , Numbers: 9, 4, 3, 16, Operations: division, addition, subtraction
  • CVariables: 9, 4, 3, 16, Numbers: π‘₯ , 𝑦 , π‘š , Operations: multiplication, division, addition, subtraction
  • DVariables: π‘₯ , 𝑦 , π‘š , Numbers: 9, 4, 3, 16, Operations: multiplication, division, addition, subtraction
  • EVariables: 9, 4, 3, 16, Numbers: π‘₯ , 𝑦 , π‘š , Operations: division, addition, subtraction

Q23:

What is the variable in the expression 6 π‘₯ + 8 0 ?

  • A6
  • B80
  • C π‘₯

Q24:

What is the constant term in the expression 3 𝑝 + 2 π‘ž βˆ’ 𝑀 βˆ’ 1 9 2 2 ?

Q25:

How many terms are there in π‘š + 3 6 ?