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

Matrix of r, Let R be the relation on S = {1, 2, 3, 4, 5} defined by R =...

Let R be the relation on S = {1, 2, 3, 4, 5} defined by R = {(1,3); (1, 1); (3, 1); (1, 2); (3, 3); (4, 4)}. (b) Write down the matrix of R. (c) Draw the digraph of R.

Which of the partially ordered sets are lattices, Which of the partially or...

Which of the partially ordered sets in figures (i), (ii) and (iii) are lattices? Justify your answer.   Ans: suppose (L, ≤) be a poset. If each subset {x, y} consisting

Normal approximation to binomial to approximate probability, A certain flig...

A certain flight arrives on time 78% of the time. Suppose 1000 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that a)

Probability of independent events, Q. Probability of Independent Events? ...

Q. Probability of Independent Events? Ans. Consider these two events:  {My name is Shirley} {The rain is falling} Are these events related to each other?  No.  My name

Calculate the area of rectangle , Calculate the area of RECTANGLE ? Th...

Calculate the area of RECTANGLE ? The area of a rectangle is the amount of space taken up by a rectangle, which is a two-dimensional shape. You find the area (A) of a recta

Geomartry, how to find volume of a cone in cubic units when the radius is 5...

how to find volume of a cone in cubic units when the radius is 5 and height is 11

Find the generating function, Find the generating function for the number o...

Find the generating function for the number of r-combinations of {3.a, 5.b, 2.c}          Ans:  Terms sequence is given as r-combinations of {3.a, 5.b, 2.c}. This can be writte

Substitution rule, Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (...

Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (u ) du,     where, u = g ( x ) we can't do the following integrals through general rule. This looks considerably

Area of an ellipse, You know the experation for the area of a circle of rad...

You know the experation for the area of a circle of radius R. It is Pi*R 2 . But what about the formula for the area of an ellipse of semi-minor axis of length A and semi-major

Relation and functions, Prove that if f and g are functions, then f interse...

Prove that if f and g are functions, then f intersect g is a function by showing f intersect g = glA A={x:g(x)=f(x)}

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