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GCE Mathematics 1990 Question 10

Question 10

Graphs of Functions

From the graph, determine the roots of the equation y = 2x2 + x − 6.

Diagram for this question
  1. A.−3, 4
  2. B.−2, −6
  3. C.−2, 1.5
  4. D.−1, 1
  5. E.2, 1
Show the answer and explanation

Answer: C (−2, 1.5)

Explanation

The roots are where the curve crosses the x-axis: x = −2 and x = 1.5. Check: 2x2 + x − 6 = (2x − 3)(x + 2).