Lesson: Introduction to Polynomials

Presentation

•

Mathematics

•

9th Grade

•

Medium

•

CCSS

6.NS.B.3, RI.11-12.7, 7.EE.A.1

Standards-aligned

Christopher Gassler

Used 71+ times

FREE Resource

7 Slides • 10 Questions

Multiple Select

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Introduction to Polynomials

Objective: Identify the degree and lead coefficient of a given polynomial.

Math Response

Combine Like Terms: 3x² - 4 + 2x - 5x² + 12

Type answer here

Deg^°

Rad

TERM

- a number, a variable, or the product of a number and variable(s)

EXAMPLES

poly- "many" -nomial "term" Term(s) whose exponents are whole numbers, and are separated by a "+" or a "-"

POLYNOMIAL

x + 3

x² - 4x - 9

9x³ + 5x² - 3x + 12

How many terms does each polynomial have?

Math Response

How many terms does the polynomial have?

$2ab^2-4c+6d^3-12ef\ +\ 101$

Type answer here

Deg^°

Rad

STANDARD FORM of a POLYNOMIAL

all of the terms are in order from the highest exponent (degree) to the lowest exponent (degree).

EXAMPLE

Write in STANDARD FORM

5y² + w⁴ + w⁷ - q³+ 2y - 10

Reorder

Rewrite $2x^2+9-5x^3+3x^4-8x$ in standard form.

$+3x^4$

$-5x^3$

$+2x^2$

$-8x$

$+9$

DEGREE OF A POLYNOMIAL

EXAMPLES

3x² + 9x - 4

x² - 8x⁵ + 7

y⁵z⁴ + w²x³+ 2xy - 10

the degree is ___

the highest degree of its monomials with non-zero coefficients.

Math Response

What is the degree of the polynomial?

$a^3b^3+c^4d-x^3y^2$

Type answer here

Deg^°

Rad

LEAD COEFFICIENT

the coefficient of the first term when the polynomial is written in standard form.

EXAMPLE

What is the lead coefficient?

-9x³ + 3x - 6x⁴ + 22

Math Response

What is the lead coefficient of the polynomial?

$-4a^3+19a^4-a+12a^6+103$

Type answer here

Deg^°

Rad

NAMING A POLYNOMIAL

by the number its degree

DEGREE	NAME	EXAMPLE
0	CONSTANT	12
1	LINEAR	3x - 12
2	QUADRATIC
3	CUBIC
4	4th DEGREE POLYNOMIAL

x² + 4x - 8

4x³ - 5x² + 4x

9x⁴ - 2x² - 6

Multiple Choice

Name the polynomial by its degree.

$3x^2+7x-8$

constant

linear

quadratic

cubic

NAMING A POLYNOMIAL

by the number of terms it has

Number of Terms	Name	Example
1	MONOMIAL	4x
2	BINOMIAL	7x - 8
3	TRINOMIAL	2x - 7y + 12

Multiple Select

Choose all the binomial expressions.

-5x + 12

2x²

2y²- 2y + 2

19 - 7y

3x³ - 3

Multiple Select

Choose all the descriptions that describe the polynomial.

-4x² - 7

trinomial

linear

quadratic

binomial

monomial

Fill in the Blanks

Take a picture 📷 of the notes 📒 you took for this lesson.

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(if it is not working😕, upload 💻 the picture 📸 to the google classroom assignment)

Type answer...

Do you have your NOTEBOOK OUT?

🙄

👍, I have my 📕 out.

I KNOW I have to take a picture 📸 of my notes 📝at the end to get full 💯credit.

I DO NOT have a notebook 😖 and understand it means I will get a bad 👎 grade. 😧😞😥

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