Algebra 2 Question Help

Question

Which of the following polynomials has -2,-3, and -4 as zeros?

I. P(x) = (x - 2)(x - 3)(x - 4)
II. P(x) = (x + 2)(x + 3)(x + 4)
III. P(x) = -2(x - 2)(x - 3)(x - 4)


1) I only

2) II only

3) I and III only

4) I, II, and III

 

please explain, thank you

Answer 1

II only. Remember, to find the zeroes of the equation P(X)= (x-2)(x-3)(x-4), each factor may be set equal to zero separately, the following array occurs: x+2=0, so X=-2; x+3=0; so x=-3; and x+4=0, so x=-4.  None of the other answers will have negative zeros.  For example, if (x-2)(x-3)(x-4)=0, the zeroes would be all positive (2, 3 and 4 respectively).