Factoring

**//__ Topic Overview __//** - Factoring is breaking up an equation or expression into two or more simpler parts that are being multiplied together. There are many ways you can use factoring. Factoring can be used in financial issues. In fact Factoring is a financial transaction whereby a business sells its accounts receivable (i.e., invoices) at a discount. Factoring differs from a bank loan in three main ways. First, the emphasis is on the value of the receivables, not the firm’s credit worthiness. Secondly, factoring is not a loan – it is the purchase of an asset (the receivable). Finally, a bank loan involves two parties whereas factoring involves three. __ Work Cited __ - 1.  http://www.mathwarehouse.com/quadratic/images/solve-factor/picture-steps-solve-factor3.gif 2.  http://library.thinkquest.org/29292/quadratic/2factoring/index.htm 3.  http://en.wikipedia.org/wiki/Factoring_(finance) 5 **__Key Term-__** **__ Factoring Checklist- __** factoring checklist is when you factor number but put it in list form. The rules or patterns to use when doing the factoring are as follows: ab + ac = a(b + c) a^2 - b^2 = (a - b)(a + b) a^3 - b^3 = (a - b)(a^2 +ab + b^2) a^3 + b^3 = (a + b)(a^2 - ab + b^2) **__ Factoring trinomials with and without coefficients in front of x squared __** - 2x+3x+7x+7=0 factorable quadratic equations. Here are the steps you should follow: Move all terms to the same side, so the equation is set equal to 0. || Factor the algebraic expression. || Set each factor equal to 0. (If the product of two factors equals 0, then either one or both of the factors must be 0.) || Solve each resulting equation. ||
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 * __ Factoring Binomials __** - A binomial is an expression with two terms separated by either addition or subtraction. The goal is to make it all one term — with everything multiplied together. This is accomplished by factoring the two terms. You can use four basic methods to factor a binomial. If none of these methods works, the expression is considered to be //prime// — meaning it cannot be factored.
 * Rule 1:** Factoring out the Greatest Common Factor
 * Rule 2:** Factoring using the pattern for the differences of squares
 * Rule 3:** Factoring using the pattern for the difference of cubes
 * Rule 4:** Factoring using the pattern for the sum of cubes
 * __ Factoring Polynomials with four terms __** - Quadratic trinomials of the form ax + bx + c where a = 1 (QT a = 1) factor into the product of two binomials (double bubble) where the factors of c must add to b.
 * __ Solving Quadratic Equations by Factoring __** - ** Solve  (//x// – 3)(//x// – 4) = 0  **** . **
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Solve for x: x2+3x = 0 x(x+3)=0 || x=0 and || x+3=0 x = -3 || x = {0,-3} ||
 * ** Example 1 ** ||
 * Factor the common monomial. ||
 * Set each factor equal to 0 and solve for x. ||
 * List all values of x. ||

Solve for y: y2 = 16 y2-16=0 || (y+4)(y-4)=0 || y+4=0 and y = -4 || y-4=0 y = 4 || y = {-4,4} ||
 * ** Example 2 ** ||
 * Get all terms on the same side. ||
 * Factor the difference of squares. ||
 * Set each factor equal to 0 and solve for y. ||
 * List all values of y. ||

Solve for c: c2-12=c c2-12-c=0 || c2-c-12=0 || (c+3)(c-4)=0 || c+3=0 and c= -3 || c-4=0 c= 4 || c = {-3,4} || **__ 1 Word problem __** - **Question** A ball falls from the top of a roof 329 feet above the ground. The formulas h=16^2+16t+320 described the height of the ball above the ground, h, in feet, t seconds after the fall begins. How long will it take the ball to strike the ground?
 * ** Example 3 ** ||
 * Get all terms on the same side. ||
 * Arrange the terms in standard form. ||
 * Factor the quadratic trinomial. ||
 * Set each factor equal to 0 and solve for c. ||
 * List all values of c. ||

when ball hits ground, the height above ground is zero **__ 2 Additional Links __** - 1.  http://www.regentsprep.org/Regents/mathb/7D1/quadlesson.htm 2.  http://www.purplemath.com/modules/lcm_gcf.htm
 * Answer**