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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Abstract

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:	Language English
Uncontrolled Keywords:	Integer, cube, perfect square, perfect cube, progression, cyclic quadrilateral, inscribed square
Subjects:	Natural Sciences Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/1382
Publisher URL:	http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

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