Question

The graph of y=x^2 - 2x- 3 is shown above. What are the zeros and factors of y=x^2 - 2x -3

A. X=1 and x = -3;(x-1)(x+3)

B. X=-1 and x = -3;(x+1)(x+3)

C. X=1 and x = -3;(x-1)(x-3)

D. X=-1 and x = -3;(x+1)(x-3)

Answer 1

`\boxed{x = -1, \ x = 3 \ \ ( x+1) (x-3)}`

Explanation:

Zeros of the function:

The zeros of a function is when the y value is 0 or where the function crosses the x-axis.

The function crosses the x-axis at x = -1 and x = 3.

Factors of the function:

`y=x^2 - 2x- 3`

Factor the right side.

`y=x^2 +1x-3x- 3`

`y=x(x +1) -3(x+1)`

Take (x + 1) common.

`y=(x+1)(x-3)`

The factors are (x + 1) and (x - 3).

Answer 2

zeros -1,3 and the factors ( x+1) (x-3)

Explanation:

The zeros are where it crosses the x axis

It crosses at x=-1 and x=3

So the factors are ( x- -1) and ( x-3)

( x+1) (x-3)