Which of the following is a polynomial with roots – sqrt 3, sqrt 3 , and –2 ?
Answer
x3 – 2x2 – 3x + 6
x3 + 2x2 – 3x – 6
x3 – 3x2 – 5x + 15
x3 + 3x2 – 5x – 15

Question

Which of the following is a polynomial with roots –  sqrt 3, sqrt 3 , and –2 ?
Answer
		x3 – 2x2 – 3x + 6
		x3 + 2x2 – 3x – 6
		x3 – 3x2 – 5x + 15
		x3 + 3x2 – 5x – 15

anonymous · Answer

substitute x = -2 in the four equations and see which one gives you 0.
similarly do it for the other roots.

anonymous · Answer

product of roots = -6, so equation 2

anonymous · Answer

lol, that is easier.

mathteacher1729 · Answer

Guyc, nice solution! :) Here is the list of useful facts about polynomials: http://home.windstream.net/okrebs/page26.html Also note that you can expand $$(x-\sqrt{3})(x+\sqrt{3})(x+2)$$ Since $$(x-\sqrt{3})(x+\sqrt{3})=x^2-3$$ this is now just multiplying $$(x^2-3)(x+2)=x^3+2x^2-3x-6$$ :)