(04.05 LC)
Which of the following is a polynomial with roots: −square root of 3 , square root of 3, and 2? (6 points)

Select one:
a. x3 + 3x2 − 5x − 15
b. x3 + 2x2 − 3x − 6
c. x3 − 3x2 − 5x + 15
d. x3 − 2x2 − 3x + 6

correct answer is option d.

Step-by-step explanation:

Here, we have The following expression to check Which of the following is a polynomial with roots: −square root of 3 , square root of 3, and 2 :

a. x3 + 3x2 − 5x − 15

For ,    ⇒ . So, this isn't the one. We move on further!

b. x3 + 2x2 − 3x − 6

For ,    ⇒  = 0 .

For ,    ⇒ = 0.

For 2 ,    ⇒ . So, this isn't the one. We move on further!

c. x3 − 3x2 − 5x + 15

For ,    ⇒ . So, this isn't the one. We move on further!

d. x3 − 2x2 − 3x + 6

For ,    ⇒  = 0 .

For ,    ⇒ = 0.

For 2 ,    ⇒ = 0.

Therefore, correct answer is option d.