Identifying and Computing with Polynomials

Classify the polynomial by its number of terms.
 4x² - 2

• 
  monomial

• 
  binomial

• 
  trinomial

• 
  polynomial

What is the degree of the polynomial?
x³y² - 7x²y + 3

• 
  1

• 
  3

• 
  5

• 
  7

Which is an example of a cubic monomial?

• 
  x³ + 5

• 
  x² + 3

• 
  x² + 5x - 6

• 
  5x³

How many terms are in the following polynomial?
_{3xy - 2y + 8x - 7z -16}

• 
  1

• 
  2

• 
  4

• 
  5

Add:
(3x² - 3x + 2) + (x² - 2x + 1)

• 
  4x³-2x²+2

• 
  4x² - 5x + 3

• 
  -2x³+2x+2

• 
  4x³-2x²-2

What is the leading coefficient of this polynomial?

• 8

• -4

• -1

• 1

What is the degree of the polynomial?

Remember: If a term has more than one variable with exponents - add them.

• 2

• 3

• 4

• 5

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

Is this expression a polynomial or not?
5x⁴ - 7x

• polynomial

• not a polynomial

Is this expression a polynomial or not?

NOTE: A variable is under the radical.

• polynomial

• not a polynomial