correct answer is option d.
<u>Step-by-step explanation:</u>
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 :
<u>a. x3 + 3x2 − 5x − 15
</u>
For , ⇒ . So, this isn't the one. We move on further!
<u>b. x3 + 2x2 − 3x − 6
</u>
For , ⇒ = 0 .
For , ⇒ = 0.
For 2 , ⇒ . So, this isn't the one. We move on further!
<u>c. x3 − 3x2 − 5x + 15
</u>
For , ⇒ . So, this isn't the one. We move on further!
<u>d. x3 − 2x2 − 3x + 6</u>
For , ⇒ = 0 .
For , ⇒ = 0.
For 2 , ⇒ = 0.
Therefore, correct answer is option d.