consuder the following polynomial equation x (x-3) (x+6) (x-7) = 0. which of the following are zeros of the equation? select all that apply. A = - 7. B = - 6 C = - 3 D = 0 E = 3 F = 6 G = 7

B, D, E, and F

x = - 6, 0, 3, 7

Step-by-step explanation:

The zeros of a polynomial are the solutions to its factored set equal to 0. Using the zero - product property, you can set each factor of the polynomial equal to 0. Each one will solve to specific solution for it.

The polynomial has factors x, x-3, x+6 and x-7. Set each equal to 0 and solve.

x = 0

x - 3 = 0 has solution x = 3

x + 6 = 0 has solution x = - 6

x - 7 = 0 has solution x = 7

The zeros of the polynomial are x = - 6, 0, 3, 7.