Solve the following.

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

Problem

Solve the following. (i) A quadratic polynomial has zeros whose sum is

4

and product is

3

. Find the polynomial in its simplest form. (ii) Verify, by direct substitution, that each zero you find satisfies the polynomial obtained in part (i).

Related theory

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

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