Find the sum of the zeros and the product of zeros of a quadratic polynomial, are − 1/ 2 and -3 respectively. Write the polynomial.
Find the sum of the zeros and the product of zeros of a quadratic polynomial, are − 1/ 2 and -3 respectively. Write the polynomial.
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We can find the quadratic polynomial if we know the sum of the roots and product of the roots by using the formula
x2 – (sum of the zeroes)x + product of zeroes
⇒ x2 – (− 1/2 )x + (–3)
⇒ x2 + 1/2x – 3
Hence, the required polynomial is x2 + 1/2x – 3.
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