Make up two polynomial functions, f of x and g of x. f of x should be of degree 3 or higher. g of x should be of degree 4 or higher.
Find f of 3 in each of the three ways: substitution, remainder theorem (synthetic division), and long division. You should get the same answer three times for f of 3.

Find g of negative 2 once using your choice of the three methods.
Organize your four calculations in an orderly manner. (Images will need to be provided in your post.)
A. Post your polynomials, f of x and g of x, and submit screenshots of your organized calculations.

Answer the following questions:

Why did you choose the method you used to solve g of negative 2?
Can you think of any other ways (other than the three used here) to evaluate a function?
Can you come up with and explain a way to check your answer?
Challenge: Can you explain why the remainder theorem works?

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

answer: the center is the median and/or mean of the data. the spread is the range of the data. and, the shape describes the type of graph. the four ways to describe shape are whether it is symmetric, how many peaks it has, if it is skewed to the left or right, and whether it is uniform. good luck

step-by-step explanation: