Algebra II--Unit 3

What is the possible degree of the polynomial?

• 2

• 3

• 4

• 5

Select all the graphs which show even degree functions.

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Tags

CCSS.HSF.BF.B.3

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

4x⁴+4x³-9x²-x+2 ÷ x-1

• 4x³+8x²-7x-2
• 4x³+19x²-x-2
• 4x³+8x²-x-9
• 4x³+8x²-x-2

Tags

CCSS.HSA.APR.D.6

Describe the end behavior.

f(x) = - 5x⁴ + 6x³ - 2x² - 2x - 14

• Both ends of the graph will approach positive infinity.

• The ends of the graph will extend in opposite directions.

• Both ends of the graph will approach negative infinity.

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Factor
n² + 5n - 6

• (n - 2)(n - 3)
• (n - 1)(n + 6)
• (n + 1)(n - 6)
• (n + 2)(n - 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
x² - 9

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

Tags

CCSS.HSA.APR.C.4

Factor Completely: 6x² + 7x - 3

• (2x + 3)(3x-1)
• (2x - 3)(3x + 1)
• (2x + 3)(6x - 2)
• (3x - 3)(2x + 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely
10x² + 15x-5

• 25(10x³+45x-15)
• 5(2x³ + 3x²-x)
• x(10x³+15x-5)
• 5(2x²+3x-1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3