Answer the following questions related to integral roots of quadratic equations.

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

Answer the following questions related to integral roots of quadratic equations. (a) What is meant by an integral root of a quadratic equation? (b) A quadratic equation ax2+bx+c=0ax^{2}+bx+c=0 has product of coefficients acac. Explain how suitable factor pairs of acac can help in finding integral roots of the equation. (c) Determine whether the quadratic equation 2x2−7x+3=02x^{2}-7x+3=0 possesses integral roots. If it does, find them and verify your answer by substitution.

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