Regents Ready Practice #4

Multiple Choice

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3
• 2x³ - x² + 3x
• 2x² + 11x + 33 + 108/x+3
• 2x² - 5x + 12

Multiple Choice

(3x³ + 5x - 1) ÷ (x + 1)

• 3x³ - 3x² + 8x - 9
• 3x² - 3x + 8 - 9/x+1
• 3x² + 3x + 8 + 7/x+1
• 3x³ + 3x² + 8x + 7

Multiple Choice

Given the point (4,6) on the terminal side of an angle that is NOT on the Unit Circle, find the exact value of $$\sec\theta$$ .

• $$\frac{\sqrt{13}}{2}$$  

• $$\frac{\sqrt{13}}{3}$$
  

• $$\frac{3}{2}$$  

• $$\frac{2}{3}$$
  

Multiple Choice

Angle Θ is in Quadrant III with

sin Θ = -³/₅. What is tan Θ?

• -¾

• -⅗

• ¾

• ⅘

Multiple Select

$$b\left(t\right)\ =\ 200\left(1.02\right)^{t\ }$$  models the growth of a bacteria population where t represents the hours and b(t) represents the number of bacteria. Which equation models the growth of the bacteria after any given amount of days?

• $$b\left(d\right)=200\left(1.02\right)^{\frac{1}{24}d}$$  

• $$b\left(d\right)=200\left(1.02\right)^{24d}$$  

• $$b\left(d\right)=200\left(1.608\right)^d$$  

• $$b\left(d\right)=200\left(1.0008\right)^d$$  

To solve a polynomial means to do all these things:

• find the solutions

• find the zeroes

• find the roots

• find the x-intercepts

Multiple Select

What are the factoring methods we have learned for factoring polynomials? (check all that apply)

• Factor out a GCF

• Difference of Squares

• Sum or Difference of Cubes

• Factor by Grouping

• Factor like a Quadratic

Multiple Choice

Factor using Factoring by Grouping:

2n⁴ + 7n³ - 4n - 14

• (n - 2)(n - 2)(n - 2)(2n + 7)

• (n - 2)³(2n + 7)

• (n³ - 2)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

Multiple Select

Solve the following polynomial. $$0=x^3-3x^2-4x+12$$

 (select all that apply)

• $$x=\pm2$$  

• $$x=3$$  

• $$x=1$$  

• $$x=0$$  

Multiple Choice

Sine or Cosine?

• y=sinx
• y=cosx

Multiple Choice

The period of a function is

• the length on the x axis of one cycle

• how high and low the function goes from the center line

• the range of the function

• the height of the function

Multiple Choice

What is the period of

y= 4 cos (5x)

• 2π/5

• π

• 5

• 5π

Multiple Choice

What is the vertical shift for

y = 4 cos(x +π) - 2?

• up 2

• left 2

• right 2

• down 2

Multiple Choice

What is the amplitude of this function?

• 2
• 2π
• -2
• 1

Multiple Choice

Sine or Cosine?

• y=sinx
• y=cosx

Multiple Choice

what is the period of y= -3sinx

• π
• 2π
• 3π
• 4π