Answer:
C) (x - 5)(x- 1)
Step-by-step explanation:
The graph shows an upward-opening parabola that intersects the x-axis at x = 5 and x = 1.
The factored form of a quadratic equation in the form y = x² + bx + c with roots r₁ and r₂ is:
[tex]y = (x - r_1)(x - r_2)[/tex]
The roots are the x-intercepts of the graph.
In this case, the roots are r₁ = 5 and r₂ = 1, so the factored form is:
[tex]y = (x - 1)(x - 5)[/tex]
So, the factorization of x² - 6x + 5 is:
[tex]\Large\boxed{\boxed{(x - 5)(x- 1)}}[/tex]
