What polynomial has roots of -1, -2, and 3 ?

Choose one answer.

A. x^3 + 6x^2 + 11x + 6
B. x^3 - x^2 - 5x + 2
C. x^3 + 2x^2 - 7x + 2
D. x^3 - 7x - 6

Question

What polynomial has roots of -1, -2, and 3 ?

Choose one answer. 

A. x^3 + 6x^2 + 11x + 6 
B. x^3 - x^2 - 5x + 2 
C. x^3 + 2x^2 - 7x + 2 
D. x^3 - 7x - 6

campbell_st · Answer

well if you know the roots, you know the binomial factors

P(x) = (x +1)(x +2)(x - 3)

you don't need to distribute.... 

just get the constant term 

that will give you the answer from the list

anonymous · Answer

So it's b? I'm sorry my online home schooling thing keeps changing around the different answers and it's wicked weird making it hard for me to truly find the correct answer only using the info they give me :C

campbell_st · Answer

nope not b...

anonymous · Answer

:( Would it be C?

campbell_st · Answer

gievn the polynomial is 

P(x) =(x +1)(x+2)(x -3)

just multiply the constants.... 1,2 and -3

anonymous · Answer

it'd be negative 6 so the answer is d?

campbell_st · Answer

thats correct... doing the question that way is a short cut... provided there is only 1 answer with a constant of -6

anonymous · Answer

:3 Oh my god that is such a handy trick! Thank you so much!