One zero of a quadratic polynomial is 2

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

One zero of a quadratic polynomial is 2. The sum of its zeros is 1 and the leading coefficient is 2. The polynomial is required to have integer coefficients. Determine the polynomial.

Related theory

Polynomials
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients

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