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)

Question

asked Jul 11, 2020 233k views

2 Answers

Shadox · Answer 1 · 2020-07-17T18:33:23+0000

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)