Question

The sum and the product of the zeros of a quadratic polynomial are minus one upon two and -3 respectively the quadratic polynomial so formed is K bracket X square plus X upon 2-3 true or falls

Answer 1

Answer :

True

Given :

Sum of zeroes = $\dfrac{-1}{2}$

Product of the zeroes = -3

The standard form of quadratic equation for any variable x is given by :

P(x) = k{ x² - (sum of zeroes) x + product of zeroes}

where k is any constant like 1 , 2 , 3 , etc .

Quadratic equation for above condition is :

P(x) = k { x² - ( -1/2) x + (-3)}

$\tt = k( {x}^{2} + \frac{x}{2} - 3)$

Hence , the equation for the polynomial is true .

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A polynomial is an expression including both constant values and variable values . It may be linear , quadratic , cubic , etc .

Linear polynomial has highest degree 1 whereas a quadratic polynomial is the one with highest degree as 2 .