Question

Use the graph to write the factorization of x^2+4x-5

Answer 1

`y = (x + 5)(x - 1)`

EXPLANATION

From the graph, the x-intercepts are

`x = 1`

and

`x = - 5`

This implies that (x-1) and (x+5) are factors of the function represented by the graph.

Therefore we factor the function as

`y = (x + 5)(x - 1)`

The correct choice is C.

Answer 2

Answer: OPTION C

Explanation:

By definition, the roots of the quadratic function are the interceptions of the parabol with the x-axis.

As you can see in the graph, the parabola intersects the x-axis at:

`x=-5\\x=1`

Then these are the roots.

Therefore, this means that:

`x=-5\\x+5=0\\\\x=1\\x-1=0`

So, the factorization is the following:

`(x+5)(x-1)=0`