Number sense week 3

Question 1

What is a polynomial?

Answer 1

an algebraic expression whose terms are separated by addition (+) or subtraction (-)

Question 2

classification for a single term polynomial:

Answer 2

Monomial

Question 3

classification for a two-term polynomial:

Answer 3

Binomial

Question 4

classification for a three-term polynomial:

Answer 4

Trinomial

Question 5

classification for a polynomial with more than 3 terms:

Answer 5

n-term polynomial

Question 6

What are the two ways polynomials can be classified?

Answer 6

By degree (exponents), or by number of terms

Question 7

How do we find the degree in a monomial?

Answer 7

Add up all exponents

Question 8

Give an example of finding the degree of the monomial:

4x^2

Answer 8

4x^2

= degree of 2

Question 9

Give an example of finding the degree of the monomial:

3xyz

Answer 9

3 x^1 y^1 z^1

= degree of 3

Question 10

How do we find the degree in a polynomial?

Answer 10

Find the highest term exponent sum

Question 11

Give an example of finding the degree of the polynomial:

4x^2y - 5x^2y^4

Answer 11

( 4x^2y ) - ( 5x^2y^4 )
( degree: 3 ) - ( degree: 6 )

degree of 6

Question 12

How do we collect like terms?

Answer 12

Combine terms with the same variable and the same degree (exponent)

Question 13

List rules for collecting like terms:

Answer 13

• collect alphabetically (1a - 2a + 1b - 2b…)

- ordered by highest degree exponent if the variable is the same (x^3 - x^2 + x…)

Question 14

Collect the like terms:

3x - 4y + 8x - 3y

Answer 14

3x - 4y + 8x - 3y
3x + 8x - 4y - 3y
= 11x - 7y