How we solve polynomial equations using factoring, Mathematics

Assignment Help:

How we Solve Polynomial Equations Using Factoring ?

A polynomial equation is an equation that has polynomials on both sides. Polynomial equations can often be solved by putting everything on one side of the equation, then factoring the polynomial. For example, look at the equation

x2 - 2x- 3 = 0.

Everything is already on one side. If we factor, we get:

(x - 3)(x+1) = 0.

Look at what we have there: two things multiplied together give us zero. The only way that can happen is if one (or more) of the factors is zero to start with. In mathematical terms:

x - 3 = 0 or x + 1= 0.

Solving these equations yields

x = 3 or x = -1,

So these are the solutions of the original polynomial equation.

Remark: a second-degree equation never has more than 2 solutions. And an nth degree equation never has more than n solutions.


Related Discussions:- How we solve polynomial equations using factoring

If there are 75 students in the play how many are boys, 64% of the students...

64% of the students within the school play are boys. If there are 75 students in the play, how many are boys? To ?nd out 64% of 75, multiply 75 by the decimal equivalent of 64%

Chanllenge, apzza driver delivered 27 pizzas in one night he delivered more...

apzza driver delivered 27 pizzas in one night he delivered more then one pizza to only one house . every other hhouse he only delivered pizza to 18 houses . how many pizzas did he

Find out the greatest common factor, Find out the Greatest Common Factor? ...

Find out the Greatest Common Factor? The largest number that is a common factor of two numbers (that is, both numbers share the same factor) is called the greatest common facto

Draw a common graph ( x - 2)2 /9+4(y + 2)2 =1, Graph     ( x - 2) 2 /9+4...

Graph     ( x - 2) 2 /9+4(y + 2) 2  = 1 Solution It is an ellipse. The standard form of the ellipse is                                                         ( x - h

Percent problems.., I have a graph, i need to determine the many hours per ...

I have a graph, i need to determine the many hours per day becky spends on math activity if she does it 25% of her day.

Derivatives of trig functions, Derivatives of Trig Functions In this s...

Derivatives of Trig Functions In this section we will see derivatives of functions other than polynomials or roots of polynomials. We'll begin this process off through taking

Example of infinite interval - improper integrals, Evaluate the subsequent ...

Evaluate the subsequent integral. Solution This is an innocent enough looking integral. Though, because infinity is not a real number we cannot just integrate as norm

Emi, calculation of emi %

calculation of emi %

Geometry, how much congruent sides does a trapezoid have

how much congruent sides does a trapezoid have

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