Mixed Practice with Graphs of Polynomials and Poly Division

What is the degree of the polynomial: f(x) = 3x² + 4x - 5

• Degree 2  (quadratic)

• Degree 3 (cubic)

• Degree 4 (quartic)

• Degree 5 (quintic)

What must be true about the leading coefficient of the function?

• It is a positive #

• It is a negative #

• It is an even #

• It is an odd #

Match the following End Behavior to their Graphs

• Degree is Even, Leading Coefficient is Negative

• 
• Degree is Even, Leading Coefficient is Positive

• 
• Degree is Odd, Leading Coefficient is Positive

• 
• Degree is Odd, Leading Coefficient is Negative

• 

• 4

• 3

• 2

• 1

Check all the even degree polynomials:

• 
• 
• 
• 
• 

f(x) = (x+2)(x-3)²(x-4)

Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

What are the x-intercepts of the polynomial: y = 3 (x + 4) (x + 1) (x - 3)

• -4, -1, 3

• 3, -3, 4, 1

• 4, 1, -3

• 3, -4, -1, 3

What is another way(s) to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

• none of these

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 

• 3, √5, -√5

• -3, √5, -√5

• -3, 5i, -5i

Which of the following is the end behavior of the following graph?