pomar6tyLillice
Answered

Which of the following is a polynomial with roots negative square root of 5, square root of 5, and 3?


x3 − 2x2 − 3x + 6

x3 + 2x2 − 3x − 6

x3 − 3x2 − 5x + 15

x3 + 3x2 − 5x − 15

Verified Answer :

Dimples26ld

The polynomial with those roots would be: 

y = (x + √5)(x - √5)(x - 3) 
▬▬▬▬▬▬▬▬▬▬▬ multiply this out to get 
y = (x² - 5)(x - 3) 

y = x³ - 3x² - 5x +15

Answer:

The correct answer is the first one

Step-by-step explanation:

x3 − 2x2 − 3x +

Use the quadratic equation and you will get a polynomial with roots negative square root of 5, square root of 5, and 3

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