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

What are the basic elements of reasoning, What are the Basic Elements of Re...

What are the Basic Elements of Reasoning ? There are four basic elements used in geometry. If we say studying geometry is like building a house, then these elements are like d

Build a fine automaton which accept all words, Build a Fine Automaton which...

Build a Fine Automaton which accept all words which have different first and last letters (that is if the word starts with an "a" to be accepted it should end with "b" and vice ver

Dumpy level, Hi there, I am doing a math assignment at current, however I a...

Hi there, I am doing a math assignment at current, however I am having trouble with a question about dumpy level, and finding whether the slope of the block will be suitable for th

Sequencing., how to select out time for m2

how to select out time for m2

Marginal cost & cost function, Marginal cost & cost function  The cost ...

Marginal cost & cost function  The cost to produce an additional item is called the marginal cost and as we've illustrated in the above example the marginal cost is approxima

Find the coordinates of the other two vertices, The two opposite vertices o...

The two opposite vertices of a square are (-1, 2) and (3, 2). Find the coordinates of the other two vertices.

What is the maximum amount of hours cindy worked together, Carl worked thre...

Carl worked three more than twice as many hours as Cindy did. What is the maximum amount of hours Cindy worked if together they worked 48 hours at most? Let x = the amount of h

Area of a parallelogram x what is the height in terms of x, The area of a p...

The area of a parallelogram is x 8 . If the base is x 4 , what is the height in terms of x? Since the area of a parallelogram is A = base times height, then the area divided by

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