Imagine your younger relative, of middle school age, was taking an algebra course and asked for your help, how would you teach the multiplication of polynomials to him/her?

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First define polynomial multiplication basic principles to your younger relative.

There are two basic principles that come to play when multiplying polynomials:

1. When multiplying two polynomials, use the distributive property until every term of one polynomial is multiplied by every term of the other polynomial ...

Is the multiplication of complex numbers similar to multiplication of polynomials? Is it possible to apply the FOIL method when multiplying complex numbers? Explain your answers.

1. How would you teach the multiplication of polynomials?
2. What four steps should be used in evaluating expressions? Could these steps be skipped or rearranged? Explain your answersr.
3. Do you always use the property of distribution when multiplying monomials and polynomials? Explain why or why not. Also what type

Using the fact that 1+x = 4+(x-3), find the Taylor series about 3 for g. Give explicitly the numbers of terms. When g(x)=square root of 1+x
Check the first four terms in the Taylor series above and use these to find cubic Taylor polynomials about 3 for g.
Use multiplication of Taylor series to find the quartic Taylor polyn

Design and implement a class for dealing with polynomials. The polynomial
a(n)x^n + a(n-1)x^(n-1) + . . . + a0
will be implemented as a linked list. Each node will contain and int value for the power of x and an int value for the corresponding coefficient. The polynomial operations should include addition, multiplication, an

Solve each problem.
78. Swimming space. The length of a rectangular swimming
pool is 2x -1 meters, and the width is x +2 meters. Write
a polynomial A(x) that represents the area. Find A(5).
86. Selling shirts. If a vendor charges p dollars each for
rugby shirts, then he expects to sell 2000 - 100p shirts at
a tournamen

1. For each polynomial listed below, determine
i the degree of the polynomial
ii the coefficient of the leading term
iii the constant term
a. P(x) = x + 1
b. Q(x) = 3x + 2
c. R(x) = x2 + 2x + 1
d. W(x) = 4x2 + x + 3
e. Z(x) = 3x3 + 2x2 + x

See attachment, thank you very much.
Simplify each expression
1. 2x3 . 3x2 (x3 = X raised to the power 3, x2 = X raised to the power 2).
2. (2x2 y)4
3. 18x4 divided by 3x or 18x4
-----------
3x
4. x-9 =
5. 9x

Please explain as simple as possible howmultiplication and division of rational expressions can be done. Please show examples of each in simple form by typing out linearly and use parentheses around top and bottom if there's more than 1 term.