Unit 3 Quiz 1 Review

Factor
27x³-64

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

Factor:   x³ + 1

• (x + 1)³
• (x+1)(x² - x + 1)
• (x - 1) (x² + x - 1)
• (x + 1)(x² - 2x + 1)

7r³-8r²+42r-48

• (r²+6)(7r+8)
• (r²+6)(7r-8)
• (r²+6)(r²+8)
• (r²+6)(7r+6)

Factor completely.

x² - 144

• ( x - 12 ) ²

• ( x - 12 ) ( x - 12 )

• ( x + 12 ) ( x + 12 )

• ( x + 12 ) ( x - 12 )

Factor completely.

x⁴ - 1

• ( x² + 1 ) ( x² - 1 )

• ( x + 1 ) ( x + 1 ) ( x + 1 ) ( x - 1 )

• ( x² - 1 ) ²

• ( x² + 1 ) ( x + 1 ) ( x - 1 )

Assuming the scale is 1, where is f(x) > 0?

• [-4, -1] U [2, +oo)
• (-4, -1) U (2, +oo)
• (-oo, -4] U [-1, 2]
• (-oo, -4) U (-1, 2)

Assuming the scale is 1, where is f(x) < 0?

• [-4, -1] U [2, +oo)
• (-4, -1) U (2, +oo)
• (-oo, -4] U [-1, 2]
• (-oo, -4) U (-1, 2)

Solve the inequality without a graph:
(x - 2)(x + 3)²(x² + 4) ≥ 0

• [2,∞)
• [-3] U [2,∞)
• (2,∞)
• Not Given

What are the solutions for the polynomial inequality?
 $x^2-x\le6$  

•  $\left(-2,3\right)$  

•  $\left[-2,3\right]$  

•  $\left(-\infty,-2\right)\cup\left(3,\ \infty\right)$  

•  $\left(-\infty,-2\right]\cup\left[3,\ \infty\right)$  

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9
• 2x² - x + 1
• 2x² - x + 1 + 9/x-2
• 2x² - 9x - 15 - 23/x-2