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:
- FOIL (FIRST, OUTSIDE, INSIDE, LAST – or its derivatives for trinomials)
- Multiply each term of a polynomial by EVERY OTHER TERM of the other polynomial
- 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.
- 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`
Two of tonight’s homework problems solved by MrE are here! Just click it!
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Algebra 1a: Chapter 8, Lesson 1, page 358.
Solving Systems of Equations by Graphing
A set of equations for which a common solution is sought is called a SYSTEM OF EQUATIONS. A solution of a system of 2 equations in 2 variables (x, y) is an ordered pair that makes both equations true.
Take 2 linear equations and graph them (with at least 2 points for each linear equation) and where they INTERSECT is a “SOLUTION” to BOTH equations.
Pretty simple to do, but it can be time consuming in that you have to have graph paper and a ruler and some time ….
Here is a link with LOTS of examples from purplemath.com. It goes on for 2 pages so make sure that you see them both!
Two of tonight’s homework problems solved by MrE are here! Just click it!