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

Examples of polynomial, Examples of  polynomial that  doesn't factor No...

Examples of  polynomial that  doesn't factor Now, all of the examples that we've worked to this point comprised factorable polynomials. However, that doesn't have to be the cas

#tibobb, a painter charged $320 to paint two walls taht measure 12 feet by ...

a painter charged $320 to paint two walls taht measure 12 feet by 9ft and two walls that measured 10 ft by 9 ft. The client asks him to return to paint two walls that measue 15 ft

I need help with my cahsee, Ask questionteachme how to graph points convert...

Ask questionteachme how to graph points convert fractions to deciams #Minimum 100 words accepted#

Digit word problems, Find a three-digit positive integers such that the sum...

Find a three-digit positive integers such that the sum of all three digit is 14, the tens digit is two more than ones and if the digit is reversed, the number is unchanged.

., Can you help me solve the following: 2/3x+1/4= 88/6x-5/3

Can you help me solve the following: 2/3x+1/4= 88/6x-5/3

Geometry, how do you do proofs?

how do you do proofs?

Student, the weight of a body above the surface of earth varies inversely w...

the weight of a body above the surface of earth varies inversely with the square of the distance from the center of the earth. if maria weighs 125 pounds when she is on the surface

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