Polynomial Vocabulary

Polynomial Vocabulary
"Game Show Style"

​New Unit on
POLYNOMIALS

• I can ADD and SUBTRACT Polynomials

• I can MULTIPLY Polynomials

• I can FACTOR Polynomials

Then we will check to see if you "got it"!

​

​Learn by seeing EXAMPLES and NON-EXAMPLES

Let's Review
COMBINING LIKE TERMS

Multiple Choice

Simplify: 3x + 5x - 7y

• 1xy

• 8x - 7y

• -105xy

• xy

Multiple Choice

Simplify: -4x + 7x² + x

• -28x⁴

• 12x³

• 7x² - 3x

• 4x²

Multiple Choice

The COEFFICIENT of 3x⁴ is:

• 3

• 4

• x

• Multiply

Polynomials are named based on Number of TERMS and DEGREE!

Fill in the Blanks

How many TERMS are in the polynomial?

3x⁵ + 7x¹² - 8x

Polynomial Names based on TERMS

MONOMIAL - 1 term - 12x²y³z
BINOMIAL - 2 terms - 2x² + 7x
TRINOMIAL - 3 terms - 12x³ + 5x² + 2x
N-TERM - 4 or more terms -
x³ + x² + x + 8

Multiple Choice

What would you call this polynomial based on number of terms?

3x⁵ - 8x + 7

• Monomial

• Binomial

• Trinomial

• Quadranomial

POLYNOMIALS DO NOT HAVE:

• NEGATIVE Exponents (like x^-2)

• FRACTIONAL Exponents (like 3x^¾)

• Variables under a ROOT (like √3x⁵)

• Variables in the DENOMINATOR of a fraction

• Variable as the exponent (like 5^x)

Multiple Choice

Which of these is a POLYNOMIAL?

• ⅖ x³

• 5x^-3

• 7^x

• 9x/5y

​Degree of a Term: Add all the exponents...

12x²y³z DEGREE = ?

​​Degree of a Polynomial: Find the greatest degree of any term...

x² + 3x⁵ + 7 DEGREE = ?

Fill in the Blanks

What is the degree of this Monomial?

5x⁴y³

Fill in the Blanks

What os the degree of the polynomial?

12x⁵ + 8x³ - 3x⁹ + 12x

STANDARD FORM

​We write most final answers in standard form:
Highest Degree first, then descending powers of the variable

Ex: 5x⁵ - 12x⁴ + 3x² - 9

Multiple Choice

True or False: The Polynomial below is written in STANDARD FORM:

12x² - 8x⁴ + 6x - 2x⁵

• TRUE

• FALSE

Polynomials are also given names based on their Degree:

Match

Match the Monomial with its name based on Degree:

• Constant

• Linear

• Quadratic

• Cubic

• Quartic

7

3x

4x²

8x³

-5x⁴

• 7

• 3x

• 4x²

• 8x³

• -5x⁴

​PRACTICE!

​Complete the Google Quiz about Polynomial Vocabulary!