Question

which of the following would be the correct factored form with roots 2, 5i, and 6? (x+6)(x+2)(x-5i) (x+6)(x+2)(x+5i) (x-6)(x-2)(x-5i) (x-6)(x-2)(x+5i)(x-5i)

Explanation:

Step1: Recall root to factor rule

For a root $r$, factor is $(x-r)$

Step2: Convert each root to factor

• Root 2: $(x-2)$
• Root $5i$: $(x-5i)$
• Root 6: $(x-6)$

Step3: Multiply the factors

$(x-6)(x-2)(x-5i)$

Answer:

C. $(x-6)(x-2)(x-5i)$