Question

Identify all the zeros of the function y=3(x+2)(x-1)(x+4)


A
1
B
-1
C
2
D
-2
E
3
F
-3
G
4
H
-4

Answer 1

To find the zeros of the function \( y = 3(x+2)(x-1)(x+4) \), we need to set the function equal to zero:

\[
3(x+2)(x-1)(x+4) = 0
\]

Since 3 is a constant and does not affect the zeros, we can simplify our task to finding when the product of the factors is equal to zero:

\[
(x+2)(x-1)(x+4) = 0
\]

Now we set each factor equal to zero:

1. \( x + 2 = 0 \) ⇒ \( x = -2 \)
2. \( x - 1 = 0 \) ⇒ \( x = 1 \)
3. \( x + 4 = 0 \) ⇒ \( x = -4 \)

Thus, the zeros of the function are:

- \( x = -2 \)
- \( x = 1 \)
- \( x = -4 \)

Now, let's identify these zeros from the options provided:

A. 1
B. -1
C. 2
D. -2
E. 3
F. -3
G. 4
H. -4

The correct responses for the zeros of the function are:

- **D: -2**
- **A: 1**
- **H: -4**

So the zeros of the function are **D, A,** and **H**.