Question

H(r) = (r + 1)(r +8)

1) What are the zeros of the function?
Write the smaller r first, and the larger r second.
smaller r =
larger r =

Answer 1

The zeros of the function H(r) = (r + 1)(r + 8) are found by setting each factor equal to zero. The smaller zero is r = -8 and the larger zero is r = -1.

Step-by-step explanation:

The zeros of a function are the values of the variable for which the function equals zero. To find the zeros of the function H(r) = (r + 1)(r + 8), we set the function equal to zero and solve for r.

H(r) = 0

(r + 1)(r + 8) = 0

Using the zero product property, we set each factor equal to zero and solve for r:

• r + 1 = 0 → r = -1
• r + 8 = 0 → r = -8

Therefore, the zeros of the function are r = -1 and r = -8.

We are asked to write the smaller r first:

smaller r = -8

larger r = -1