Intro To Polynomials

Intro To Polynomials

by Terrie Dabit

Open Ended

What is a POLYNOMIAL? In your own words what is it?

​Watch My Video & Look For....

• ​What is a polynomial?

• ​Classifying

• ​Degree

• ​Terms / Like Terms

• ​Standard Form

Multiple Choice

How do you know it is a POLYNOMIAL?

• Exponent can't be a fraction

• No variables in the denominators

• All of the above

• (-3) would NOT work as an exponent

Multiple Choice

Classify this polynomial by its degree and number of terms:  x² + 2x + 6

• Trinomial

• Binomial

• Cubic trinomial

• 4 term polynomial

Multiple Choice

Classify by number of terms: 3x³ – 6x

• Monomial

• Binomial

• Trinomial

• 4-Term Polynomial

Multiple Choice

When a polynomial is written in standard form, the coefficient of the first term is called the _____________.

• Boss coefficient
• Leading coefficient
• Best coefficient
• Greatest common coefficient

Multiple Choice

The following polynomial is written in standard form:

x² - 10x+ 8x - 5 Hint: Look for like terms. Are they together?

• True

• False

Multiple Choice

What is the name of a monomial that does not have a variable? ( ex. 511 )

• constant

• linear

• quadratic

• cubic

Multiple Choice

What are like terms?
Terms that have....

• the same variables
• the same exponents
• the same coefficients
• the same variables and exponents

Multiple Choice

When you combine like terms, what do you do with the exponents?

• Add them

• Multiply them

• Leave them the same

• Divide them

Multiple Choice

Is this expression a polynomial?

NOTE - A variable is in the denominator of the expression.

• Yes, it is a polynomial.

• No, it is not a polynomial

Multiple Choice

What is the leading coefficient of this polynomial? Check to make sure it is in standard form.

• 8

• -4

• -1

• 1

Multiple Choice

What is the value of the constant? 2x² + 4x − 5

• 2

• 4

• 5

• −5

Multiple Choice

Is $$y=\ \frac{2}{3}x^5-3x^4+8x^2-16$$  a polynomial?

• Yes, and the degree is 5 with leading coefficient 2/3.

• No

Multiple Choice

Is $$y=\sqrt{x^3-7x^2+8x-1}$$  a polynomial?

• Yes, with degree 3 and leading coefficient 1.

• No, this is a square root of a polynomial, but not a polynomial.

Multiple Choice

Is the following a polynomial?

6a³

^{Notice that the exponent is NOT a variable.}

• Yes, it is a polynomial

• No, it is not a polynomial

Multiple Choice

Is this expression a polynomial or not?

NOTE: A variable is under the radical.

• polynomial

• not a polynomial

Multiple Choice

Is the following a polynomial? Take note that the exponent is a variable.

9^m

• yes

• no

Multiple Choice

What is the degree of this expression?

8a³

^{Notice that the exponent is NOT a variable.}

• 8

• 1

• 3

• cannot be determined; the expression is not a polynomial

Multiple Choice

Which expression includes 2 coefficients?  

• 2x - 4

• 8x + 2

• 23f - 9 + 16

• 3h + 5j -4

Multiple Choice

Which expression contains three variables?

• 2x - 4y +12
• 4t - 5s +x
• 3 + 8 -3z
• 2p ( 4y )

Multiple Choice

Classify by the DEGREE: 2x² - 5

• 1

• 2

• 3

• 4

Multiple Choice

What is the degree of the polynomial 17x + 4

• 0

• 1

• 2

• 3

Multiple Choice

What is the highest degree among terms in this polynomial?

6x² + 7x⁴ + x3 + x

• 1

• 2

• 3

• 4

Multiple Choice

Degree of

$$xy+x^2y-xy-z+xyz$$   is __________

• 1

• 2

• 3

• 4

Multiple Choice

5) Degree of

$$p^2qr-pqr+pr^3q$$  is__________

• 2

• 3

• 4

• 5

Multiple Choice

7) Degree of 10 is ______

• 10

• 1

• 0

• Undefined

Open Ended

Name ONE concept you learned in this lesson that you may have forgotten or never knew it in the first place?

Poll

This lesson on Intro to Polynomials was .....

• A waste of time, but needed the grade. I could pass this Quizizz Lesson.

• I knew a lot of this, but thanks for the refresher

• Yes, I needed this! I remember doing this but I may have forgotten some of it.

• Very informative. I learned a lot of things I did NOT know.