Find all fourth degree polynomial p(x) such that the following four conditions are satisfied:
(i) p(x)\equal{}p(\minus{}x) for all x,
(ii) p(x)≥0 for all x,
(iii) p(0)\equal{}1
(iv) p(x) has exactly two local minimum points x1 and x2 such that |x_1\minus{}x_2|\equal{}2. algebrapolynomialalgebra proposed