Intro to Polynomials

Polynomials

Vocabulary, Classifications, and Operations

Polynomials Vocabulary

● Variable (a letter) - represents a quantity that can

vary or change

● Constant (not changing fixed) - a number or symbol

for a non-changing value (6, 234, 𝜋 ) that is NOT
next to a letter (not being multiplied by a variable)

● Coefficient - a number or value NEXT TO A

LETTER or variable that acts as a multiplier
(including the invisible 1)

Polynomials Vocabulary

● Monomial - a number, a variable, or the product

of a number and one or more variables (1 term)

● Binomial - polynomial with 2 terms
● Trinomial - polynomial with 3 terms
● Polynomial - a monomial or the sum of

monomials (4 terms or more)

In your notebook, write the expression below and label it
(like in the examples above) with these vocabulary words:
Constant, Variable, Coefficient, Exponent, Base, Term.

Multiple Choice

Classify the following polynomial

• quartic polynomial

• quadratic polynomial

• quartic trinomial

• quadratic trinomial

Multiple Choice

Classify the following polynomial

• quadratic trinomial
• cubic binomial

Multiple Choice

Classify the polynomial:
3x² – 8x + 1

• quadratic trinomial

• cubic trinomial

• quadratic binomial

• cubic binomial 

Multiple Choice

Is this expression in Standard Form?
6w² - 9w³

• Yes

• No

Multiple Choice

What is the degree?
 - 3x³ - x² - 10x + 12

• 1

• 2

• 3

• 4

Multiple Choice

Identify the degree of the polynomial

3x⁴ + 2x² - 7

• 1st degree

• 2nd degree

• 3rd degree

• 4th degree

Multiple Choice

Identify the degree of the polynomial

5x⁴ - 3x² + 2x⁶ - x + 7

• 2nd degree

• 4th degree

• 5th degree

• 6th degree

Multiple Choice

Identify the type of polynomial shown

2x² + 3x

• Monomial

• Binomial

• Trinomial

• Polynomial with more than 3 terms

Multiple Choice

Identify the type of polynomial shown

-3

• Monomial

• Binomial

• Trinomial

• Polynomial with more than 3 terms

Multiple Choice

Rewrite the polynomial in standard form: -5 + 4m

• -5 + 4m

• 4m - 5

• -4m + 5

• 4m² - 5

Multiple Select

Which of these is in Standard Form? (check all that apply)

• $$4x^2+12x-13x^3$$  

• $$5-3x$$  

• $$2x^4-12x^2+5x-9$$  

• $$5x^5+4x^{\text{4}}+12x^3-23x+15$$  

Fill in the Blank

A polynomial is in ___________ form when it is in alphabetical order with exponents in decreasing order.

Thank you for your attention!

I am glad we are on this adventure together!​