A certain polynomial, P, has a degree of 2. Polynomial P has zeros of 2 and -3, and a > 0 when the function of polynomial P is written in the form of y = ax2 + bx + c. Given this information, which of the following could be the graph of polynomial P ?
A.
B.
C.
D.
Answer:B
A certain polynomial, P, has a degree of 2. Polynomial P has zeros of 2 and -3, and a > 0 when the function of polynomial P is written in the form of y = ax2 + bx + c. Given this information, which of the following could be the graph of polynomial P ?
A. B. C. D.
Explanation: B The best way to deal with this question is through POE. If the polynomial has zeroes of 2 and -3, then that means you have two points: (2,0) and (-3,0)-eliminate (A) and (C). Since it is given in the question that a > 0 when the parabola is in the form y = ax2 + bx + c, the parabola must be pointed upwards-eliminate (D) and choose (B).