polynomials discussion

1. Choose an addition exercise from numbers 77-92 on page 382 of the text:

  • Type each polynomial in descending order.
  • For each polynomial, classify it as a monomial, binomial, trinomial, or polynomial and explain why such a label applies.
  • For each polynomial, state the leading coefficient and identify the degree of the polynomial. Explain why these are so.
  • Show and explain how to add the two polynomials. 2. Choose a subtraction exercise from numbers 77-92 on page 382 of the text:
  • Type each polynomial in descending order.
  • For each polynomial, classify it as a monomial, binomial, trinomial, or polynomial and explain why such a label applies.
  • For each polynomial, state the leading coefficient and identify the degree of the polynomial. Explain why these are so.
  • Show and explain how to subtract the two polynomials. 3. When multiplying polynomials, we are taking every term of one polynomial and multiplying them by every term of the second polynomial, then collecting like terms

• Explain how foil helps us to accomplish this, and what category of polynomials foil applies to.

4. There are two special case products where the product takes on a special pattern: the difference of squares and the perfect square trinomial.

  • Explain the pattern of each and when it occurs
  • For each of the two special cases, illustrate your explanation with an appropriate exercise from the text (note the pg. and exercise number in your post), showing how the multiplication is performed using the special case formula, then also showing that you will get the same result using foil
 
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