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

Using transformation to sketch the graph, Using transformation to sketch th...

Using transformation to sketch the graph                             f ( x ) = (x - 2) 2  + 4 Solution In this part it looks as the base function is x 2 and it looks a

Truth table-boolean expressions, 1. Construct a truth table for the followi...

1. Construct a truth table for the following Boolean expressions: a) ABC + A'B'C' b) ABC + AB'C' + A'B'C' c) A (BC' + B'C) 2.   Simplify the following expressions:

Reduce equaction to quadratic using substitution, Solve 2 x 10 - x 5 - 4 ...

Solve 2 x 10 - x 5 - 4 = 0 . Solution We can reduce this to quadratic in form using the substitution, u = x 5 u 2   = x 10 By using this substitution the equa

HELP, imagine you are a health professional interestedin the effects of med...

imagine you are a health professional interestedin the effects of medication on the diastolic blood pressure of adult women. for a certain drug being investigated, you find that fo

Permutations, Subject identification numbers in a certain scientific resear...

Subject identification numbers in a certain scientific research project consist of three digits followed by three letters and then three more digits. Assume repetitions are not all

Linear equations , solve the system of equations by graphically and compare...

solve the system of equations by graphically and compare the solution with that obtained by matrix approach 3x+2y=8 y=x-1

Product using identities, i want to find the product using suitaible identi...

i want to find the product using suitaible identities: (x+y+2z){(x*x)+(y*y)+4(z*z)-xy-2yz-2zx}

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