Question

write a quadratic polynomial whose sum of the zeroes is 1/3 and product of the zeroes is-2​

Answer 1

Note :

Let a and b be the roots of the given quadratic polynomial.

Given :

(1) a+b=1/3

(2) ab= -2

To Find:

Quadratic polynomial=?

Formula:

x²-(a+b) x+ab=0

Solution:

As per the formula,

The required quadratic polynomial:

x²-1/3x-2=0

Answer 2

quadratic polynomial

$let \:a \: and \:b \: be \: the \: \: root quadratic \: of \: polynomial where \: \\ a + b = \frac{1}{3} \\ ab = - 2 \\ form \: of \: quadratic \: polynomial \: is \ \\ x ^{2} + (a + b) - ab \\ x ^{2} + \frac{1}{3} x - 2 \\ quadratic \: polynomial \: in \: this \: form \:$

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