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?

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α.part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part bsuppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i. e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?