Question

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

x3 − 3x2 − 5x + 15
x3 + 2x2 − 3x − 6
x3 − 2x2 − 3x + 6
x3 + 3x2 − 5x − 15

Answer 1

$(x - 3)(x- \sqrt{5})(x+\sqrt{5})\\\\= (x - 3)(x^2 -5)\\\\=x^3 - 3x^2 - 5x + 15$

Answer is A