Question

Consider the polynomial equation (X(X - 3)(X + 6)(X - 7) = 0), which of the following are zeros of the equation? Select all that apply. 1) 0 2) 3 3) -6 4) 7

Answer 1

options 1, 2, 3 and 4

Explanation:

given the polynomial equation

x(x - 3)(x + 6)(x - 7) = 0

to find the zeros

equate each factor to zero and solve for x

x = 0

x - 3 = 0 ( add 3 to both sides )

x = 3

x + 6 = 0 ( subtract 6 from both sides )

x = - 6

x - 7 = 0 ( add 7 to both sides )

x = 7

the zeros are then x = 0, x = 3 , x = - 6 , x = 7