Prove that the inequality
x(x+ 1)(x+ 2)(x+ 3) ≥ −1
holds for all real numbers x.

Question

10-09-2014
Mathematics

Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Prove that the inequality
x(x+ 1)(x+ 2)(x+ 3) ≥ −1
holds for all real numbers x.

Sagot :

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.

Simplify the expression:[tex]\[3 \times 3 - 3 \div 3 + 3\][/tex]

Glycolysis is an important metabolic pathway that is critical for cellular function in mammalian cells, many anaerobic organisms,and some plants. Examine at lea

What is a gene family?a.A specifiC gene found in several different speciesb.A group of homologous genes found within the same speciesc.A group of mRNAs that are

[tex]\[\log_{a} 2 \approx 0.301 \text{ and } \log_{a} 3 \approx 0.477.\][/tex] Use one or both of these values to evaluate [tex]$\log_{a} 8$[/tex].[tex]\[ \lo

Thin client computers are a type of portable single-user computers. Group of answer choices True False

Which of the following is the equation of a line that passes through the points [tex]$(0,6)$[/tex] and [tex][tex]$(2,10)$[/tex][/tex]?A. [tex]y = 2x + 6[/tex]B.

Which is the best translation of the following into the language of syllogistic logic?"No one is Spartan unless they are Greek."a. Some S are not Gb. No S are G

]little girl.(C) Rewrite the following sentences correctly.1. This house will be rent out by the owner.The owner will rent out ther house2. He were advised to c

Find the zeros of [tex]$y = x^2 + 4x - 9$[/tex] by completing the square.A. [tex]$x = \pm 3$[/tex] B. [tex]$x = 2 \pm \sqrt{13}$[/tex] C. [tex][tex]$x = 3 \pm

A fiberglass UST does not need corrosion protection due to the construction material: A. Containing no corrosives B. Being resistant to chemicals C. Being leak

pepe11 pepe11 · Answer 1 · 2014-09-10T13:34:09-04:00

(x²+x)(x²+5x+6) = x^4 + 6x³ + 11x² + 6x + 1 ≥0
f(x) = x^4 + 6x³ + 11x² + 6x + 1
f'(x) = 4x³ + 18x² +22x +6
racines x1 = -0,301 x2 = -1,5 x3 = -2,618
variations

x -2,62 -1,5 -0,3
f'(x) - 0 + 0 - 0 +
f(x) -inf \ 0 / \ 0 /

on voit que cette fonction st toujours positive

Prove that the inequality x(x+ 1)(x+ 2)(x+ 3) ≥ −1 holds for all real numbers x.

Sagot :

Other Questions

Prove that the inequality
x(x+ 1)(x+ 2)(x+ 3) ≥ −1
holds for all real numbers x.