Problems for the senior school

De, Prithwijit and Shirali, Shailesh (2017) Problems for the senior school. At Right Angles, 6 (2). pp. 92-94.

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Problem VI-2-S.1 A mathematics teacher wrote the quadratic x 2 + 10x + 20 on the board. Then each student either increased by 1 or decreased by 1 either the constant or the linear coefficient. Finally x 2 + 20x + 10 appeared. Did a quadratic expression with integer zeros necessarily appear on the board in the process? [From Polynomials by Ed Barbeau]

Item Type: Articles in APF Magazines
Authors: De, Prithwijit and Shirali, Shailesh
Document Language:
Uncontrolled Keywords: Integer, cube, perfect square, perfect cube, progression, cyclic quadrilateral, inscribed square
Subjects: Natural Sciences
Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
Publisher URL:

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