SAT Math Multiple Choice Question 147: Answer and Explanation

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Question: 147

12. 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.

Correct Answer: B

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).

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