Solving quadratic equations by factoring, Algebra

Assignment Help:

As the heading recommend here we will be solving quadratic equations by factoring them.

Zero factor property or zero factor principle

 To solving quadric equation by factor we will required the following fact.

                          If ab = 0   then either       a= 0  and/or b = 0

This fact is the zero factor principle or zero factor property.  All the fact says that if two term product is zero then at least one of the terms had to be zero to begin with.

Notice that it fact will only work if the product is equal to zero.  Assume the following product.

                                                     ab = 6

In this case there is no cause to believe that either a or b will be 6. We could have a = 2 and

b =3 for example.  Thus, do not misuse this fact!

In order to solve a quadratic equation by factoring first we have to move all the terms over to one side of the equation. Doing this serves two causes.  First, this puts the quadratics into a form which can be factored.  Secondly, and possibly more importantly, to use the zero factor property we have to have a zero on one side of the equation.  If we don't have a zero on one side of the equation we can't use the zero factor property.


Related Discussions:- Solving quadratic equations by factoring

Application of linear equation, Sabrina invested 1500000 in stocks and bond...

Sabrina invested 1500000 in stocks and bonds.Her investment in bonds is 5000 more than half her investment in stocks.How much did she invest in each ?

Slope, Im an 8th grader and my grades arent the best. Im really having trou...

Im an 8th grader and my grades arent the best. Im really having trouble with slope. I just dont get it all that well.

Using transformation sketch the graph, Using transformation sketch the grap...

Using transformation sketch the graph of each of the following.                                             g ( x ) = - x 2 Solution (a)  Depending on the placement of

Vertical and horizontal shifts, We now can also combine the two shifts we o...

We now can also combine the two shifts we only got done looking at into single problem.  If we know the graph of f ( x ) the graph of g ( x ) = f ( x + c ) + k will be the graph of

Sail boating, How did they get an answer of 4.24899(-6) the question isc=4d...

How did they get an answer of 4.24899(-6) the question isc=4d(-1)/3.b. I now i substitute 23,245 for d and 13.5 for b, but don''t understand how they got this answer?

Example of factorable quadratic equation, Complete the square on each of th...

Complete the square on each of the following.                       x 2   -16x Solution                           x 2 -16x Here's the number which we'll insert to th

Inequality problem, why is the inequality symbol must be reversed when both...

why is the inequality symbol must be reversed when both sides of a inequality are multiplied or divided by a negative number

Varibles, 2x-1=10 I got 9/2 but i''m not sure if that is really right

2x-1=10 I got 9/2 but i''m not sure if that is really right

Relationship between the graph of a function and its inverse, There is inte...

There is interesting relationship among the graph of function and its inverse. Here is the graph of the function & inverse from the first examples. We'll not deal along with the

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd