Math 3 Quiz 3.1 - 3.4

Write a polynomial function with the given zeros.

• A

• B

• C

• D

• The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→0
• The end behavior of the graph is x →∞,y→∞and x→⁻∞, y→⁻∞

Does this function have an absolute maximum?

• Yes 
• No

Does this graph have an absolute minimum?

• Yes
• No

What is the factored form of a function if it has zeros of 2, 3 and -1?

• (x-2)(x-3)(x+1)
• (x-1)(x-2)(x-3)
• (x-1)(x+2)(x+3)
• (x+1)(x+2)(x+3)

What is the leading coefficient?

• Positive 
• Negative

What are the linear terms of the polynomial function?

• (x-2)(x-1)(x+1)(x-2)
• (x-2)(x-1)(x+1)(x+2)
• (x-2)(x-1)(x+1)(x+2)(x-4)
• (x-2)(x-1)(x+1)(x+2)(x+4)

Factor
27x³-64

• (3x-4)(9x²+12x+16)
• (3x-4)(9x²-12x+16)
• (3x+4)(9x²-12x+16)
• (3x+4)(9x²+12x+16)

Fully Factor the Following
216x³+125

• 6(x+5)³
• (6x+5)³
• (6x+5)(6x²-30x+25)
• (6x+5)(36x²-30x+25)

Find all roots by factoring.
 $x^4-4=0$  

• { $\pm\frac{\sqrt{6}}{3},\ \pm i\sqrt{2}$  }

• { $\pm\frac{i\sqrt{6}}{3},\ \pm i\sqrt{2}$  }

• { $\pm\sqrt{2},\ \pm i\sqrt{2}$  

• { $\pm\sqrt{2},\pm i\sqrt{3}$  }