LiaCondie786
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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

Sagot :

pepe11
(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
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.