Question

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

Answer 1

B, D, E, and F

x = -6, 0 , 3, 7

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.