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

Determine dimensions of the field using quadratic equation, we are going to...

we are going to fence into a rectangular field & we know that for some cause we desire the field to have an enclosed area of 75 ft2. We also know that we desire the width of the fi

Solution of basic linear equation, Solve following equations. (a)   x 2 ...

Solve following equations. (a)   x 2 -100 = 0  (b) 25 y 2 - 3 = 0 Solution There actually isn't all that much to these problems.  To use the square root property a

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

Solve out given systems, Example 2 Solve out following systems of equation...

Example 2 Solve out following systems of equations. 3x + y - 2z = 2 x - 2 y + z = 3 2x - y - 3z = 3 Solution Firstly write down the augmented matrix for this syst

Rational functions, In this last section we have to discuss graphing ration...

In this last section we have to discuss graphing rational functions.  It's is possibly best to begin along a rather simple one that we can do with no all that much knowledge on how

Factoring.., w^2 + 30w + 81= (-9x^3 + 3x^2 - 15x)/(-3x) (14y = 8y^2 + y^3 +...

w^2 + 30w + 81= (-9x^3 + 3x^2 - 15x)/(-3x) (14y = 8y^2 + y^3 + 12)/(6 + y) ac + xc + aw^2 + xw^2 10a^2- 27ab + 5b^2 For the last problem I have to incorporate the following words

Word problems, Mr.Carr is installing wall-to-wall carpeting in a room that ...

Mr.Carr is installing wall-to-wall carpeting in a room that measures 12 1/2ft. by 9ft. How much will it cost Mr. Carr if he purchases carpet priced at $26.00 per square yard?

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