Answer:
The zeros of the function h(x) are x = -3/2 and x = -3.
Explanation:
The concept used to find the zeros of the function h(x) = (-2x - 3)(-x - 3) is the zero-product property.
The zero-product property states that if a product of factors is equal to zero, then at least one of the factors must be equal to zero.
To find the zeros of the function h(x) = (-2x - 3)(-x - 3), we need to set the function equal to zero and solve for x.
Setting h(x) = 0:
(-2x - 3)(-x - 3) = 0
To find the zeros, we set each factor equal to zero and solve for x:
-2x - 3 = 0 --> -2x = 3 --> x = -3/2
-x - 3 = 0 --> x = -3
Therefore,
The zeros of the function h(x) are x = -3/2 and x = -3.