Question

Which of the following are the most likely factors of the function graphed above?

A.(x+1)(x-5)
B.(x)(x-5)
C.(x-1)(x+5)
D.(x)(x+5)

Answer 1

(x-1)(x+5)

Explanation:

Answer 2

Answer: OPTION C.

Explanation:

You can observe in the graph that the solutions of the Quadratic function are:

`x=-5\ or\ x=1`

By definition, the parabola intersects the x-axis when the value of "y" is zero, applying the Addition property of Equality:

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

Applying the Subtraction property of Equality:

`x-1=1-1\\\\x-1=0`

The Zero Product property states that:

If
`a*b = 0` then
`a = 0\ or \ b = 0`

Then, you know that:

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

Therefore the most likely factors of the function graphed above are:

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