Polynomial Functions Review

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

Simplify
(3 + i)(1 - 4i)

• 7 - 11i

• 3 - 4i

• 3 - 11i - 4i²

• 2 - 3i

Match the graph with the correct information regarding the leading term.

• Positive leading coefficient, even degree

• Positive leading coefficient, odd degree

• Negative leading coefficient, even degree

• Negative leading coefficient, odd degree

• 1

• 2

• 3

• 4

Classify the polynomial by degree.

• quartic
• quintic
• 6th degree polynomial 
• 7th degree polynomial

What is the remainder?
(6x² + 19x + 13) ÷ (2x + 5)     

• 0
• 3
• 5
• -5/2

Write the equation of the polynomial function
zeros: 0, -2, 4
degree: 5   
0 has a multiplicity of 3

• f(x) = x³(x-2)(x+4)
• f(x) = x³(x+2)(x-4)
• f(x) = x²(x-2)(x+4)
• f(x) = x²(x+2)(x-4)

What is the end behavior as x → -∞ f(x)→ ?

• -∞
• ∞

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

• x-intercept
• zero
• root
• all of these.

Check all the even degree polynomials:

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• 
• 
• 
•