The zeros of a quadratic polynomial are and

MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials

Problem

The zeros of a quadratic polynomial are

1+\sqrt{3}

and

1-\sqrt{3}

. Answer the following: (i) Find the sum of the zeros. (ii) Find the product of the zeros. (iii) Write the quadratic polynomial when its leading coefficient is 1.

Related theory

Polynomials
Quadratic Equations
Solving Quadratic Equations
Algebra
Nature and relations of roots
Relationship between zeroes and coefficients

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