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Polynomials over integers have the following chapters: Intro: Factorizing, roots of quadratic eqn, discriminent Remainder theorem, Horners method of synthetic division, quadratic eqns, graphic quadratics, y = x^{2}, y = 2x^{2},y = 3x^{2}, y = 0.5x^{2},x = y^{2}, x = 2y^{2}, x = 3y^{2}, x = y^{2}, x = 2y^{2}, Graph of y = x^{2}  x  12, Graph of y = 2x^{2} + x  1, Graph of y = x^{2}  6x + 9, Finding solution by solving graphically: Example: x^{2} + 2x  15=0, Graph y = x^{2} and graph y = 2x + 15
quadratic inequalities , 