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

Answer: OPTION C.

Step-by-step 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:

$(x-1)(x+5)$