Question

question 11 (multiple choice worth 5 points) (03.03r mc) identify the zeros of f(x) = (x + 1)(x - 8)(5x + 2). options: 1, 2/5, 8; -1, -2/5, -8; -1, 2/5, -8; -1, -2/5, 8

Explanation:

Step1: Set each factor to zero

To find the zeros of \( f(x)=(x + 1)(x - 8)(5x + 2) \), we set each factor equal to zero:

• For \( x + 1 = 0 \), solve for \( x \): \( x=-1 \).
• For \( x - 8 = 0 \), solve for \( x \): \( x = 8 \).
• For \( 5x + 2 = 0 \), solve for \( x \): \( 5x=-2\Rightarrow x = -\frac{2}{5} \).

Step2: Identify the zeros

The zeros of the function are the solutions we found: \( -1 \), \( -\frac{2}{5} \), and \( 8 \).

Answer:

-1, \(-\frac{2}{5}\), 8 (corresponding to the option: \(-1, -\frac{2}{5}, 8\))