a. View the second-degree quadratic equation x2+?x+?=0
Two players successively put an integer each at the location of a question mark. Show that the second player can always ensure that the quadratic gets two integer solutions.
Note: we say that the quadratic also has two integer solutions, even when they are equal (for example if they are both equal to 3).b.View the third-degree equation x3+?x2+?x+?=0
Three players successively put an integer each at the location of a question mark. The equation appears to have three integer (possibly again the same) solutions. It is given that two players each put a 3 in the place of a question mark. What number did the third player put? Determine that number and the place where it is placed and prove that only one number is possible. gameIntegerinteger solutionspolynomialwinning strategyalgebra