Higher Degree Polynomials

What is the degree?

• cubic

• 4th degree

• Quadratic

• 5th degree

What are the zeros of the graph?

• -4, -1, 2, 1 (double root)

• -4, -1, 1, 2

• 4, 1, -2, -1 (double root)

• 4, 1, -1, -2

f(x)= x²(x – 2)³(x – 7)

What are the zeros of the polynomial (including how many times the root occurs)

• 0 (double root)

  2 (triple root)

  7

• 2 (double root)

  7

• 0, 2, 7

• 2 (double root)

  7 (triple root)

What is the degree of the following graph?

• 3

• 4

• 5

• 6

Identify the function that belongs to the following graph.

• f(x)=(x+2)(x+3)(x-1)

• f(x)=(x+1)(x-4)(x-2)

• f(x)=(x+2)(x-2)(x+1)

• f(x)=(x-3)(x-2)(x+1)

The end behavior determines the degree of a polynomial. Which type of function has end behavior that is opposite of the beginning behavior (beginning of the graph increases, end of the graph decreases, for example)

• even

• odd

• double root

• terrace

 $7x^{5\ }+2x^{3\ }+x^6-10$  Identify the degree of the polynomial:

• linear

• quadratic

• 6th degree

• 5th degree

Identify the degree of the polynomial: $-2x^2+\left(\frac{5}{x^3}\right)-3x$  

• cubic

• quadratic

• linear

• Not a polynomial

Calculate the finite difference and identify the degree of the polynomial represented in the table.

• Difference: 0, 4th degree

• Difference: 50, quadratic

• Difference: -83, cubic

• Difference: -24, cubic

What are the x-intercepts of the following function:

y = (x-3)(x+6)(x-10)

* Please write your answer as a list using commas and no spaces; for example: 1,4,9