Which of the following is a polynomial with rootsnegative square root of 5, square root of 5, and 3

P (x) = x³ - 3x² - 5x + 15

Step-by-step explanation:

∵ The roots of the polynomial are - √5, √5, 3

∴ The polynomial has 3 factors:

(x - √5), (x + √5), (x - 3)

∴ P (x) = (x - √5) (x + √5) (x - 3)

= (x² + √5x - √5x - 5) (x - 3)

= (x² - 5) (x - 3) = x³ - 3x² - 5x + 15

∴ P (x) = x³ - 3x² - 5x + 15