Question

according to the graph, what is the factorization of $x^2 - 5x + 6$?$y=x^2 - 5x + 6$text description for grapha. $(x+3)(x-2)$b. $(x-3)(x-2)$c. $(x+3)(x+2)$d. $(x-3)(x+2)$

Explanation:

Step1: Identify x-intercepts from graph

The graph crosses the x-axis at $x=2$ and $x=3$.

Step2: Write factors from intercepts

If $x=a$ is an intercept, the factor is $(x-a)$. So factors are $(x-2)$ and $(x-3)$.

Step3: Combine factors

Multiply the factors to get the factorization.
$=(x-3)(x-2)$

Answer:

B. $(x-3)(x-2)$