Find a polynomial function with the zeros -3, 2, 4 whose graph passes through the point (7,300)

Answer 1

zeros -3, 2, 4

a(x+3)(x-2)(x-4)

= a(x^2 +x -6)(x-4)

= a(x^3 -3x^2 -10x +24) where a =2

= 2x^3 -3x^2 -20x + 48 is the 3 degree polynomial with zeroes -3,2 and 4 through the point (7,300)

a(7+3)(7-2)(7-4) = a(10)(5)(3) = 150a = 300

a =300/150 = 2