F whose zeros are -1 and 4

Answer 1

x=-1

x+1=0, (x+1) is a factor

x=4

x-4=0 (x-4) is the other factor

multiply the factors together

F(x) = (x+1)(x-4) = x^2 -3x -4

F(x) = x^-3x-4

or

F(x) =ax^2-3ax-4a where a= any real number

such as F(x) = 2x^2 -6x -8 when a= 2

or F(x) = 3x^2-9x -12 when a=3

all have zeros -1 and 4