A quadratic polynomial with integer coefficients has as one of its zeros and leading…

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

Problem

A quadratic polynomial with integer coefficients has 2+52+\sqrt{5} as one of its zeros and leading coefficient 11. (i) Identify the second zero and justify your answer. (ii) Form the quadratic polynomial in standard form. (iii) Evaluate the polynomial at x=1x=1 to check the correctness of your equation.

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