Question 1198603: Which is the polynomial with integer coefficients that has degree 3 with zeros 0, -2, and 6?
The correct answer is one of the following.
Which one?
A) x^3-4x-12
B) 2x^6-4x^2+12x
C) x^3+6x^2+9x
D) x^3-4x^2-12x
E) x^2-6x-9
Answer by mccravyedwin(407)   (Show Source):
You can put this solution on YOUR website!
Which is the polynomial with integer coefficients that has degree 3 with zeros
0, -2, and 6?
The correct answer is one of the following.
Which one?
You could solve them all to see. You could substitute all three in all of them
to see. But there is an easier way.
First of all it has degree 3, so that eliminates B) and E),
When the leading coefficient is 1, and the degree in n, the coefficient of
the term in x^(n-1) is the sum of the zeros with the opposite sign.
The sum of the zeros isd 0-2+6=4. So 4 with the opposite sign is -4. Only
choice D) has the term in the power of 1 less than 3 or x^2.
So D) is the correct choice.
Edwin
|
|
|
