Algebra 2 Question Help

Question

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

I. P(x) = x² + x - 6
II. P(x) = x² - x - 6
III. P(x) = 2x² + 2x - 12




1) I only

2) II only

3) I and III

4) I, II, and III

 

please explain

Answer 1

l. P(x)=x^2+x-6

       0=(x+3)(x-2)

       x+3=0

           x=-3

       x-2=0

           x=2

lll. P(x)=2x^2+2x-12

         0=2(x^2+x-6)

         0=x^2+x-6

3) l. and lll. is the answer