Day 93

Algebra: Chapter 5-11, p 249

Mulitplying Polynomials

To multiply a monomial and a polynomial: multiply each term of the polynomial by the monomial

There are 3 techniques to multiply binomials:

1. FOIL (or its derivatives for trinomials)
2. The BOX method
3. The old fashioned multiplication method outlined on page 249.

You get to chose which is most comfortable for you BUT REMEMBER THE BOX for Chapter 6!

For any 2 polynomials:

1. Multiply each term of a polynomial by EVERY OTHER TERM of the other polynomial
2. The BOX METHOD, more like a rectangle with each term representing 1 side of an inner box. A binomial multiplied with a trinomial will be a BOX containing 2 x 3 number of smaller boxes inside it. Each term represents 1 edge in distance in the inner boxes.
3. The old fashioned multiplication method outlined on page 249.

Remember too, the shortcuts:

• `(A + B)(A + B)= (A + B)^2=A^2 + B^2 + 2AB`
• `(A − B)(A − B)=(A − B)^2=A^2 + B^2 − 2AB`
• `(A + B)(A − B)=A^2 − B^2`

Math-8: Chapter 8-2, p 379

Scatter Plots

Scatter plots look like random dots on a graph, but, if you look closer, you can sometimes see trends upward, downward or horizontally.  An trend upward is a POSITIVE RELATIONSHIP. A trend downward is a NEGATIVE RELATIONSHIP and if the points are random, then there is NO RELATIONSHIP.

Looking at raw data can give you some idea about what is happening in a general sense, not about each exact data point. You can see trends – they are NO EXACT remember!

Here is another nice discussion about these kinds of data.