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

Word problems, I have such a hard time understanding them

I have such a hard time understanding them

Process for graphing a rational function, 1. Determine the intercepts, if t...

1. Determine the intercepts, if there are any.  Recall that the y-intercept is specified by (0, f (0)) and we determine the x-intercepts by setting the numerator equivalent to z

Grade 6 pattern math help, using T for term- p T-1,2,3,4,5,6 = 8,16,24,32,4...

using T for term- p T-1,2,3,4,5,6 = 8,16,24,32,40. Formula is T x _ +_=8, T x_+_=16 etc same 2 numbers must be used. how do i figure this out? an brackets be used or minus?

Center of the ellipse, Note that the right side has to be a 1 to be in stan...

Note that the right side has to be a 1 to be in standard form.  The point ( h, k ) is called the center of the ellipse. To graph the ellipse all that we required are the left mo

Student, find the level of illumination for four fixtures rated at 2800 lum...

find the level of illumination for four fixtures rated at 2800 lumens each if the coefficient of depreciation is 0.75, the coefficient of utilization is 0.6, and the area of the ro

Linear equation in two variables, 2x+y/x+3y=-1/7and 7x+36y=47/3 hence find ...

2x+y/x+3y=-1/7and 7x+36y=47/3 hence find p if xy=p=x/y

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