Question 5.
In the xy-plane the graph of the polynomial p(x) has x-intercepts at -5, -2, and 2. Which of the
following could define p(x)? Justify your answer.
A) p(x) = (x - 5)(x - 2)²
B) p(x) = (x-2)(x+2)(x+5)
C) p(x) = (x - 2)²(x + 5)
D) p(x) = (x - 5)(x² - 4)