Algebra 2 Unit 3 Quiz 2 Review

Find the real zeros of the function y = x³ - 6x² + 4x - 8 (use your graphing calculator)

• 0

• 5

• 5.5

• 5.54

What is the x-coordinate of the absolute maximum of this graph?

• -1

• -3

• 2

• 4

Find the x-coordinate of the relative minimum of the function y = x³ - 6x² + 4x - 8

• 3.63

• -24.71

• 3.5

• 4

What is the Range of the following Function?

• all real numbers

• y > -1

• y < 0

In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4

Factor this sum of cubes:
2x³ + 128

• 2(x³ + 64)
• (x + 4)(x² - 4x + 16)
• 2(x - 4)(x² + 4x + 16)
• 2(x + 4)(x² - 4x + 16)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve by factoring.

x⁴ + 15x² + 44 = 0

• ±√11, ±2

• ±i√11, ±2

• ±i√11, ±2i

• ±√11, ±2i

Solve x³-2x²-5x+10 = 0

• -2, i √5 , -i√5

• 2, √5, -√5

• -2, -5

• 2,√5

If a polynomial p(x) is divided by x – 3, the quotient is 8x - 15 + 18/(x-3). Which of the following must be true?

• p(3) = 0

• p(3) = 18

• p(-3) = 0

• p(-3) = 18