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Lesson: Degree and Coefficient of Polynomials

Sample Question Videos

Worksheet • 25 Questions • 2 Videos

Q1:

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

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

Q2:

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

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

  • A2 terms of 3 factors
  • B2 terms of 2 factors
  • C3 terms of 2 factors
  • D2 terms of 1 factors
  • E3 terms of 1 factors

Q5:

Are π‘Ž 4 and 4 π‘Ž like terms?

  • Ayes
  • Bno

Q6:

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

  • A Three
  • BFour
  • C Two
  • D None
  • E One

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.

  • A2, 3
  • B3, 3
  • C3, 2
  • D3, 6
  • E6, 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 .

  • Afourth degree
  • Bfirst degree
  • Cthird degree
  • Dsecond 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, subtraction, addition
  • Bvariables: 6, 7, 16, numbers: 𝑀 , 𝑦 , 𝑠 , operations: subtraction, addition
  • Cvariables: 𝑀 , 𝑦 , 𝑠 , numbers: 6, 7, 16, operations: subtraction, addition
  • Dvariables: 6, 7, 16, numbers: 𝑀 , 𝑦 , 𝑠 , operations: multiplication, subtraction, addition
  • Evariables: 𝑀 , 𝑦 , 𝑠 , numbers: 6, 7, 16, operations: multiplication, 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?

  • A2 terms of 2 factors
  • B1 terms of 2 factors
  • C2 terms of 3 factors
  • D2 terms of 1 factors
  • E1 terms of 1 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 constant
  • Ba coefficient
  • Ca variable
  • Da factor
  • Ea quotient

Q19:

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

  • Aa term
  • Ba coefficient
  • Ca constant
  • Da factor
  • Ean quotient

Q20:

An animal shelter cares for cats and dogs. All of the animals at the centre 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 centre be 𝑐 , and let the number of dogs be 𝑑 . The total number of cans of food required every day at the centre is represented by the equation

Which term represents the number of cans of food eaten by the cats?

  • A 𝑇
  • B 2 𝑐
  • C 3 𝑑

Q21:

Complete the following table.

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

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, division, addition, subtraction
  • BVariables: 9, 4, 3, 16, Numbers: π‘₯ , 𝑦 , π‘š , Operations: division, addition, subtraction
  • CVariables: π‘₯ , 𝑦 , π‘š , Numbers: 9, 4, 3, 16, Operations: division, addition, subtraction
  • DVariables: 9, 4, 3, 16, Numbers: π‘₯ , 𝑦 , π‘š , Operations: multiplication, division, addition, subtraction
  • EVariables: π‘₯ , 𝑦 , π‘š , Numbers: 9, 4, 3, 16, Operations: multiplication, addition, subtraction

Q23:

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

  • A80
  • B π‘₯
  • C6

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 ?

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