Question

Write a quadratic polynomial, sum of whose zeroes is



and product is -1.​

Answer 1

SOLUTION

TO DETERMINE

The quadratic polynomial, sum of whose zeroes and product of zeroes is -1.

CONCEPT TO BE IMPLEMENTED

If the Sum of zeroes and Product of the zeroes of a quadratic polynomial is given then the quadratic polynomial is

$\sf{ {x}^{2} -(Sum \: of \: the \: zeroes )x + Product \: of \: the \: zeroes }$

EVALUATION

Here it is given that sum of the zeroes and product of zeroes is -1

Hence the required Quadratic polynomial is

$\sf{ = {x}^{2} -( - 1)x + (- 1 )}$

$\sf{ = {x}^{2} + x - 1 }$

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Additional Information :

POLYNOMIAL

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

DEGREE OF A POLYNOMIAL

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

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