Intro to Polynomials

Polynomials by Degree

100

When the largest exponent is three

What is cubic?

200

5x - 7

What is linear?

300

An expression with no variable like 18

What is a constant?

400

The expression 8x² + 5x⁴ - 1 - 10x named according to its degree

What is quartic?

500

A polynomial where the highest degree is two.

What is quadratic?

Types of Polynomials

100

A polynomial with only one term

What is a monomial?

200

8x² + 15xy - 5y³

What is a trinomial?

300

True or False:  8/x is a polynomial

What is false?

400

-5c⁴d²e⁹ + 23f²g⁷

What is a binomial?

500

Classify this polynomial by number of terms AND degree:

−3x⁴ + 9x² + 10
 

quartic trinomial 

Polynomial Characteristics

100

Standard form for:  9x - 1 + 7x²

What is 7x² + 9x - 1?

200

Leading coefficient of   9x - 1 + 7x²

What is 7?

300

Degree of polynomial:  9x - 1 + 7x²

What is 2?

400

Standard form for:  4x³ - x⁴ + 3x²

What is -x⁴ + 4x³ + 3x² ?

500

Leading coefficient:  4x³ - x⁴ + 3x²

What is -1?

Math Operations with Polynomials

100

8x² + 5x + 4x² - 11x

What is 12x² - 6x ?

200

-19x⁴ + 6x² - 10x³ -x⁴

What is -20x⁴ - 10x³ + 6x² ?

300

25y² - 7y + 1 -(2y - 11y²)

What is 36y² -9y + 1?

400

8x² - 10x³ + 4(2x³ - 5x²)

What is -2x³ - 12x² ?

500

(5x² + 2)(3x² - 1)

What is 15x⁴ + x² - 2 ?

Parts of a Term

100

Identify the coefficient in the term: 7x

7

200

What is the variable in the term −4ab?

a and b

300

What is the exponent in the term 3x⁵ ?

5

400

Identify coefficient, variable(s), and exponent(s) in:
−8xy³
 

Coefficient: –8 

Variables: x, y 

Exponents: 1 on x, 3 on y

500

In the term

1/2x^2y^4z

 what is the coefficient and degree?

Coefficient 1/2

Degree 7