Task Background: You are now called upon to demonstrate various skills that you

Question

Task Background: You are now called upon to demonstrate various skills that you have learned throughout the session, with computational and business applications.

Part I: Multiplying and Evaluating Polynomials:

1. Program speed, or runtime, is an important concept in computer programming, and it is measured in terms of the number of mathematical operations made during one run of the program. For example, the expression x3 – 2x + 3 has six operations. If we write it as x*x*x – 2*x + 3, we see that there are four multiplications, one addition, and one subtraction.
* If you had to compute the polynomial (x + 3)(x – 3) for a certain value of x (the actual value of x does not matter), how many mathematical operations (addition, subtraction, multiplication, or division) would be made?
* Now, multiply the original (x + 3)(x – 3) polynomial (FOIL). In the new version of the expression, how many operations are there?

Explanation / Answer

(x+3)(x-3) foiled = x2 + -3x + 3x -9 = x^2 -9

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