Question

the sum and product of the zeros of a quadratic polynomial is -1 /2and -3 respectively .what is the quadratic polynomial .

Answer 1

Given : the sum and product of zeroes of the polynomials are -1/2 and -3 respectively

To Find: the polynomial

Solution:

Polynomial = k ( x² - (sum of zeroes) x   + Product of zeroes)

k is non zero real number

sum of zeroes = -1/2

Product of zeroes = -3

Polynomial = k  (x² - (-1/2)x  + (-3))

= k(x² + x/2 - 3 )

Using k = 2

2x²  + x -  6

Hence 2x² +  x -  6 is one polynomial having  sum and product of zeroes   -1/2 and -3 respectively

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Answer 2

Answer:

Given : the sum and product of zeroes of the polynomials are -1/2 and -3 respectively

To Find: the polynomial

Solution:

Polynomial = k ( x² - (sum of zeroes) x   + Product of zeroes)

k is non zero real number

sum of zeroes = -1/2

Product of zeroes = -3

Polynomial = k  (x² - (-1/2)x  + (-3))

= k(x² + x/2 - 3 )

Using k = 2

2x²  + x -  6

Hence 2x² +  x -  6 is one polynomial having  sum and product of zeroes   -1/2 and -3 respectively

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