Written final algebra ll

Question 1

Given f(x)=5x^3-x^2+13x+29 evaluate remainder f(-4) using the remainder theorem

Answer 1

Use synthetic divison and put -4 on the side DONT CHANGE THE SIGN
f(-4)=remainder

Question 2

Use long divison to divide: (4x^4-36x^2-30x-12) by (x^2-3x)

Answer 2

Use reverse box method and put bottom factor on the side and first variable of the top polynomial on the first box inside

Question 3

What is the maximum height of the cannonball? When will it reach that height?

Answer 3

1. -b/2(a)
   This will be the seconds
2. Plug seconds into the t in the function
   THIS WILL BE FEET

Question 4

Use synthetic divison to show that x+5 is a factor of f(x)=x^3-2x^2-23x+60. Then factor completely. Write your answer as a product of factors.

Answer 4

1. Change the sign
2. Do synthetic division
3. 0 = x+5 is a FACTOR
4. Get results from synthetic divison and do diamond method
5. (X-#)(X-#)
6. Answer: f(x) = (x+5)(x-#)(x-#)

Question 5

Y=a(x-h)^2+k
Vertex:
X intercepts:
Y intercept:
Domain:
Range:

Answer 5

Vertex: h,k
X intercepts: set f(x) to 0=
Y intercept: replace x for 0
Domain: all real numbers (IDENTITY ALL POSSIBLE X Values THAT PRODUCE A REAL OUTPUT
Range:
A>0= minimum
minimum y>
Maximum: y<

Question 6

The mean weight of five complete computer stations is 163.2 pounds. The weights of the four computer stations are 155.4 pounds,158.8 pounds,165 pounds and 172.2 pounds respectively. What is the weight of the fifth computer station.

Answer 6

Pound + pound (all known pounds + x)/5(number of all pounds) = mean of all the pounds
Multiply by 5 Both sides (number of all pounds)

Question 7

Median:

Answer 7

Middle number
If two middle numbers then add and divide by 2

Question 8

Mode:

Answer 8

Most common number (can be more than 1)

Question 9

Range:

Answer 9

Any number plugged in (x-2)^2 would have no fractions

Question 10

Y=a(x-h)^2+k
A is positive=
A is negative =

Answer 10

Up
Down

Question 11

PUT DATA SET IN ______ BEFORE SOLVING IT
EX: MEDIAN

Answer 11

Order