Question

Determine the maximum number of zeros, and the x-intercepts of the equation:
y = (x + 9) (x - 92
a. 2 max. zeros; x = -9, 9
b. 3 max. zeros; x = -9, 9
C.2 max. zeros, x= 0,9
d.3 max. zeros, x=-9, 0,9
Please select the best answer from the choices provided
Helpppp!!!

Answer 1

Answer:

The correct answer is A

Step-by-step explanation:

Answer 2

The x-intercept is the point where the graph crosses the x-axis

The maximum number of zeros is 2, and the x-intercepts are -9, 9.

The function is given as:

$\mathbf{y = (x + 9)(x - 9)^2}$

The above function can be rewritten as:

$\mathbf{y = (x + 9)(x - 9)(x - 9)}$

To determine the x-intercepts, we remove the common factors

So, we have:

$\mathbf{y = (x + 9)(x - 9)}$

Equate to 0

$\mathbf{(x + 9)(x - 9) = 0}$

Split

$\mathbf{x + 9 = 0\ or\ x - 9 = 0}$

Solve for x

$\mathbf{x = -9\ or\ x = 9}$

So, the maximum number of zeros is 2, and the x-intercepts are -9, 9.

Read more about zeros and intercepts at:

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