Solving problem using polynomial inequalities, Algebra

Assignment Help:

Example Solve 3x2 - 2 x -11 = 0.

Solution

In this case the polynomial doesn't factor thus we can't do that step.  Though, still we do have to know where the polynomial is zero. We ought to use the quadratic formula for that.  Here is what the quadratic formula gives us.

                                                        x = (1 ± √ 34)/3

In order to work the problem we'll have to reduce this to decimals.

x = (1 +√34)/3 = 2.27698                                         x = (1 -√34) /3 = -1.61032

From this instance on the procedure is identical to the earlier examples. In the number line below the dashed lines are at the estimated values of the two decimals above & the inequalities illustrate the value of the quadratic evaluated at the test points illustrated.

1488_Solving Problem using polynomial inequalities.png

Thus, it looks like we required the two outer regions for the solution.  Here is the inequality & interval notation for the solution.

-∞ < x < (1 - √34 )/3                            and          ( 1 +  √34 )/3

-∞, (1- √ 34) /3                                         and  ( 1 +√34 /3, , ∞ )


Related Discussions:- Solving problem using polynomial inequalities

Word problem pratice Algebra: Functions, The luck dragon that live in the e...

The luck dragon that live in the enchanted Forest weigh 4x pounds when they are x years old. Write a function table that can be used to find the weights of 6-year old, 8-year old,

Parent functions, find th e parent function g(x) = -(x + 8)2 + 4

find th e parent function g(x) = -(x + 8)2 + 4

Percentages, in a cloths shop reduces it prices by 20% how much is it on sa...

in a cloths shop reduces it prices by 20% how much is it on sale

Find the volume, a box whose volumeis 80cubic cm has length,width,height in...

a box whose volumeis 80cubic cm has length,width,height in the ratio 1:2:5 if each of the length,width,height is increased by 2cm how many cubic centimeters will the volume be incr

Assignment 2: Financial Project, ue Week 7 and worth 55 points Five (5) ye...

ue Week 7 and worth 55 points Five (5) years ago, you bought a house for $171,000, with a down payment of $30,000, which meant you took out a loan for $141,000. Your interest rate

Age Problem, The sum of the ages of Dorothy and Dona is 41. In 5 years, Dor...

The sum of the ages of Dorothy and Dona is 41. In 5 years, Dorothy will be twice as old as Dona. Find their age 3 years ago.

Need of rational root theorem, For starters it will let us to write down a ...

For starters it will let us to write down a list of possible rational zeroes for a polynomial and more significantly, any rational zeroes of a polynomial will be in this list. I

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