Problem / game
First name
Tyler
School
St. Stephens carramer
Country
Age
15
1.b. If the quadratic x^2 + bx + 30 factories as (x+r)(x+s), then r and s must multiply to give 30. As these are integers, they must be factors of 30.
The pairs of factors that multiply to give 30 are: (10,3)(-10,-3)(6,5)(-6,-5)(30,1)(-30,-1).
The value of b for each of these pairs is: 13,-13,11,-11,31,-31. Therefore these are the values of b that can produce integer factorisations.