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

Approximate.., (^5square root of 38)^3 Round your answer to 2 decimal place...

(^5square root of 38)^3 Round your answer to 2 decimal places A.8.9 B.8.86 C.8.87 D.429.51

Greatest Common Factor, How do you get the answer to Greatest Common Factor...

How do you get the answer to Greatest Common Factors.

Process for graphing a rational function, 1. Determine the intercepts, if t...

1. Determine the intercepts, if there are any.  Recall that the y-intercept is specified by (0, f (0)) and we determine the x-intercepts by setting the numerator equivalent to z

Differences Between Tempatures, The record high temperature for Asheville, ...

The record high temperature for Asheville, North Carolina was 99 degree Fahrenheit. The low record was -17 degrees Fahrenheit. What is the difference between these two temperatures

I dont understand!!!!!, write the expression in exponential form 6^sqrt9^3

write the expression in exponential form 6^sqrt9^3

Example of exponential growth, Example The growth of a colony of bacteria ...

Example The growth of a colony of bacteria is provided by the equation,                                            Q = Q e 0.195 t If there are at first 500 bacteria exist

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,

Solve equation using absolute value inequalities, Solve following.      ...

Solve following.                 |3x + 2| Solution Now we know that p ≥ 0 and thus can't ever be less than zero. Hence, in this case there is no solution as it is impos

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