Question

8. Which of the following polynomial equations has

solutions -2 and 5 ?
F. (x - 5)(x + 2)2 = 0
G. (x – 3)(x + 3)2 = 0
H. (x + 3)(x – 3)2 = 0
J. (x + 5)(x - 2)2 = 0
K. (x + 5)(x + 2)2 = 0

Answer 1

The answer is F.

Explanation:

We know the roots of the polynomial is x=-2 and x=5

The prior means that the polynomial can be written in its factorized form as the product of its roots> (i.e. (x-x1)*(x-x2))

f(x)= (x-5)*(x+2)

We select the most similar polynomial to the one we get from the prior step.