Algebra 2 Chapter 4 Final Review

Solve for the values of x:

(x - 5)(x - 1) = 0

• (5, 0) or (1, 0)

• (-5, 0) or (-1, 0)

• (0, -5) or (0, -1)

• (0, 5) or (0, 1)

Tags

CCSS.HSA-REI.B.4B

(n² + 6n − 4)(2n − 4)

• 2n³ + 16n² − 32n + 16
• 2n³ + 8n² − 32n + 16
• 2n³ + 8n² − 12n + 16
• 2n³ + 8n² − 32n - 16

Tags

CCSS.HSA.APR.A.1

 $\left(4y^2+y-5\right)+3\left(5y^2-y+4\right)$  

•  $19y^2-1$  

•  $9y^2-1$  

•  $11y^2+4y+17$  

•  $19y^2-2y+7$  

25x² - 36y²

• 5x + 6y(5x - 6y)

• (5x + 6y) (5x - 6y)

• (5x + 6y)²

• (5x - 6y)²

Tags

CCSS.HSA.APR.C.4

x⁴ - 100y²

• (x² + 10y) (x² - 10y)

• (x + 10y) (x - 10y)

• (x + 10y) (x³ - 10y)

• (x³ + 10y) (x - 10y)

Tags

CCSS.HSA.APR.C.4

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = -5x⁴ - 3x + 2

• Degree 2 (quadratic)
• Degree 3 (cubic)
• Degree 4 (quartic)
• Degree 5 (quintic)

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.

Determine the end behavior.

f(x) = 2x³ - x + 5

• Left up Right up

• Left up Right down

• Left down Right up

• Left down Right down

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and x→∞, y→⁻∞
• x → ∞, y→ ∞ and x→⁻∞, y→∞
• x → ∞, y→ ∞ and x→⁻∞, y→ 0
• x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞

Describe the end behavior of the graph.

• x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
• x →∞, y→∞ and x→⁻∞, y→∞
• x →∞, y→∞ and x→⁻∞, y→0
• x →∞,y→∞ and x→⁻∞, y→⁻∞

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

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