Question

1. write two equivalent forms for the given equation

$x^2 - 2x - 15 = 0$
$\square = 0$ (factored form)
$(\square)^2 = \square$
show your work

1. based on the graph found below, what are the zeros o

pairs.

Explanation:

Step1: Factor the quadratic equation

Find two numbers multiplying to -15 and adding to -2: -5 and 3.
$(x - 5)(x + 3) = 0$

Step2: Complete the square for the equation

$x^2 - 2x = 15$
Add $(-2/2)^2 = 1$ to both sides: $x^2 - 2x + 1 = 16$
$(x - 1)^2 = 16$

Answer:

$(x - 5)(x + 3)$
$x - 1$, $16$

For question 12: The graph is incomplete, so zeros cannot be determined. Please provide the full graph details.