Days 94 and 95 – January 27 and 28

Algebra: Chapter 5, Lesson 11, page 249.

Multiplying 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 (FIRST, OUTSIDE, INSIDE, LAST – or its derivatives for trinomials)
   • Multiply each term of a polynomial by EVERY OTHER TERM of the other polynomial
2. The BOX method
   • 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.

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

Remember too, the shortcuts for special binomials:

• `(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`