The solution below corresponds to an inequality involving a quartic function.

Write a possible quartic polynomial inequality that matches the solution. Prove that your inequality matches the solution.
x < 4 and x > 7

2 answers

midway between 4 and 7 is 11/2

Since f(x) = x^4 > 0 is satisfied by all x<0 or x>0, just shift that

a simple quartic shifted down would be
x^4 - (11/2)^4 > 0

a more involved one shifted right is
(x - 11/2)^4 > 0
16x^4 - 352x^3 + 2904x^2 - 10648x + 14641 > 0
how did u get 11/2
Similar Questions
  1. The solution below corresponds to an inequality involving a quartic function.Write a possible quartic polynomial inequality that
    1. answers icon 4 answers
  2. Classify the polynomial: x4 - 5x3 + 7x2 - x + 10.A. Cubic polynomial B. Quartic polynomial C. Quartic monomial D. Cubic
    1. answers icon 1 answer
    1. answers icon 1 answer
  3. Use the given graph of the polynomial function to complete the following.a. Estimate the​ x-intercept(s). b. State whether the
    1. answers icon 1 answer
more similar questions