Algebra: Chapter 6, Lesson 7, page 283.
Factoring: A General Strategy
To factor polynomials:
- Always look first for a common factor
- Then look at the number of terms
- 2 terms – determine whether you have a difference of 2 squares
- 3 terms – determine whether the trinomial is a square of a binomial. If not, test the factors of the terms.
- Always factor completely!
Use all the strategies we’ve learned so far to factor a variety of problems. Don’t forget to use:
- Monomial factorization (lesson 6-1)
- The differences of 2 squares (lesson 6-2), `(a^2 – b^2) = (a – b)(a + b)`
- Trinomial squares (lesson 6-3), `a^2 + 2ab + b^2 = (a + b)^2` or with a negative `(-2ab)`
- The BOX METHOD (lesson 6-4 and 6-5) for `x^2 + bx + c` or `ax^2 + bx + c` type of equations
- Factoring by grouping (lesson 6-6) for polynomials with 4 or more terms.
The toughest part is figuring out what technique to use! Go slow and you’ll be OK!
Two of tonight’s homework problems solved by MrE are here! Just click it!
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Algebra 1a: Chapter 8, Lesson 6, page 387 – DAY #2
Digit and Coin word problems.
Just remember to write the coin problems with the d (dime), q (quarter), n (nickel) preceeded by the value of the coin remembering that the d, q or n stand for the number of that type of coin. For example, `.05n + .10d = 2.05`. You can then multiply both sides by `100` to clear the decimals.
Remember too, that any 2-digit number can be expressed as `10x + y` where `x` is the digit in the tens place and `y` is the digit in the one (units) place. For example, the number `23` can be written as `10 * 2 + 3`. If we reverse the digits in the original number, the new number can be expressed as `10y + x`. The reverse of `23`, `32` can be written as `10 * 3 + 2`.
Here is a link for some examples of coin problems and here is a link for digit type problems (about 1/2 the way down the page)!
Two of tonight’s homework problems solved by MrE are here! Just click it!