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

Joy, Kevin randomly selected 1 card from a Standard deck of 52 cards. what ...

Kevin randomly selected 1 card from a Standard deck of 52 cards. what is the probabilty that he will get the king of hearts?? Multiple choice .... 4/13.... 17/52...... 13/4..... 5

Problem Solving, In a yacht race the second leg was half the length of the ...

In a yacht race the second leg was half the length of the first leg, the third leg was two-thirds of the second leg, and the last leg was twice the length of the second leg. If the

Quadratic functions, would a slope of a quadratic function get narrower or ...

would a slope of a quadratic function get narrower or wider if the slope is changed from 3 to 2.5?

Quadratic equations, Ask question #Minimum 100 words is accepted# is help...

Ask question #Minimum 100 words is accepted# is help available for categories listed above

Equations, Translate into an equation: A number increased by 19 equals 77 ...

Translate into an equation: A number increased by 19 equals 77 (let the number be represented by k)

Solve each variable, solve each equation for given variable 3ab-2bc=12;

solve each equation for given variable 3ab-2bc=12;

Find out the symmetry of equations, Find out the symmetry of equations. ...

Find out the symmetry of equations.                                                  y = x 2 - 6x 4 + 2 Solution First we'll check for symmetry around the x-axis. It

Solve out inequalities, Solve out following inequalities.  Give both inequa...

Solve out following inequalities.  Give both inequality & interval notation forms for the solution.       -14 Solution -14   -14 0 Don't get excited regar

Alg 2.., Cassie has six bracelets. In how many different ways can she wear ...

Cassie has six bracelets. In how many different ways can she wear three bracelets at the same time..

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