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In this lesson, we will learn how to determine the degree of a polynomial and use the terminology associated with polynomials such as terms, coefficients, and constants.

Q1:

Determine the coefficient and the degree of β 7 π₯ 3 .

Q2:

Determine the coefficient and the degree of β 8 π₯ 2 .

Q3:

If the degree of β 3 π₯ ο© is the same as that of π§ ο , what is the value of π ?

Q4:

What does the expression 2 π π + 3 π π consist of?

Q5:

Are π 4 and 4 π like terms?

Q6:

How many terms are in the expression 4 π₯ β π¦ + 2 7 2 ?

Q7:

Choose the answer that makes the following statement true: The expression ( π₯ + π¦ + π§ ) ( π + π + π ) consists of factors, and each factor consists of terms.

Q8:

How many terms are in the expression 2 π₯ π§ + π₯ π¦ π§ β 9 π₯ π¦ β 3 2 3 3 5 4 5 ?

Q9:

Determine the degree of π¦ β 7 π¦ 4 2 .

Q10:

What is the degree of the expression 7 π₯ β 1 2 π₯ + 2 2 ?

Q11:

Complete the following table.

Q12:

What is the constant in the expression 6 π₯ + 2 π¦ + π₯ 3 ?

Q13:

What is the constant in the expression 6 π₯ + 2 π¦ + π₯ + 4 3 ?

Q14:

What does the expression 2 π + 3 π consist of?

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 β 6 π¦ π , what is the value of π ?

Q17:

What is the constant term in the expression 4 π₯ β π¦ + 2 7 2 ?

Q18:

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

Q19:

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

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 π , and let the number of dogs be π . 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?

Q21:

Q22:

Complete the table below.

Q23:

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

Q24:

What is the constant term in the expression 3 π + 2 π β π€ β 1 9 2 2 ?

Q25:

How many terms are there in π + 3 6 ?

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