SAT Math Multiple Choice Question 347: Answer and Explanation

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Test Information

Question: 347


Which of the following could be the factored form of the equation graphed in the figure above?

  • A.
  • B.
  • C.
  • D.

Correct Answer: D



Difficulty: Easy

Category: Passport to Advanced Math / Quadratics

Strategic Advice: Factored form reveals the roots, or x-intercepts, of the equation, so start by identifying the x-intercepts on the graph.

Getting to the Answer: A root of an equation is an x-value that corresponds to a y-value of 0. The x-intercepts of the graph, and therefore the roots of the equation, are x = -1 and x = 5. When x = -1, x + 1 = 0, so one of the factors is x + 1. When x = 5, x - 5 = 0, so the other factor is x - 5. The equation in (D) is the only one that contains these factors and is therefore correct.

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