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

Detemine the amplitude of trigonometric function, 1. Consider the trigonome...

1. Consider the trigonometric function f(t) = (a) What is the amplitude of f(t)? (b) What is the period of f(t)? (c) What are the maximum and minimum values attained by

Polynomials, write the zeros of underroot3power2 -8x+4underroot 3

write the zeros of underroot3power2 -8x+4underroot 3

Project, report on shares and dovidend using newspaper

report on shares and dovidend using newspaper

Quadratic equation, how to solve this? y = 7x - 12 y = x2 Solve the sy...

how to solve this? y = 7x - 12 y = x2 Solve the system using substitution.

Rational and irrational numbers, RATIONAL NUMBERS All numbers of the ty...

RATIONAL NUMBERS All numbers of the type p/q where p and q are integer and q ≠0, are known as rational. Thus  it can be noticed that every integer is a rational number

First order linear differential equation, Newton's Second Law of motion, wh...

Newton's Second Law of motion, which recall from the earlier section that can be written as: m(dv/dt) = F (t,v) Here F(t,v) is the sum of forces which act on the object and m

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