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

How many balls must she select of the same colour, QUESTION (a) A bowl ...

QUESTION (a) A bowl contains ten red balls and ten blue balls. A woman selects balls at random without looking at them. i) How many balls must she select to be sure of havin

Finish the work., six men and Eight boys can finish a piece of work in 14 d...

six men and Eight boys can finish a piece of work in 14 days while  eight men and twelve boys can do it in 10 days. Find the time taken by  1man alone and that by 1boy alone to fin

Pair of st line, #qu Given the equation through what angle should the axes...

#qu Given the equation through what angle should the axes be rotated so that the term in xy be waiting from the transformed equation. estion..

Compound interest, Draw a flowchart for accumulated principal at the end of...

Draw a flowchart for accumulated principal at the end of 5 years by taking into account compound interest?

GEOMETRY, DIFFERENCE BETWEEN RIGHT ANGLE AND SCALENE

DIFFERENCE BETWEEN RIGHT ANGLE AND SCALENE

Rewriting percent expressions, i have trouble going through problem in this...

i have trouble going through problem in this lesson. Markdown and Markups are theh ones im stuck in

Add subtract fractions., how do you add and subtract mixed numbers with fra...

how do you add and subtract mixed numbers with fractions

What is converse- inverse and contrapositive, What is Converse, Inverse, an...

What is Converse, Inverse, and Contrapositive In geometry, many declarations are written in conditional form "If ...., then....." For Example: "If two angles are right angles,

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