The sum and the product of the zeroes odmf a quadratic polynomial in x are -7/2 and 3 respectively. find te quadratic polynomial.
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let A and B be the sum and product of roots
then,
A = 2 + √3 and
B = 2 -√3
so,
required quadratic equations is
x² - (A + B)x + AB = 0
Or
x² -( 2 + √3)x + 2 - √3 = 0
then,
A = 2 + √3 and
B = 2 -√3
so,
required quadratic equations is
x² - (A + B)x + AB = 0
Or
x² -( 2 + √3)x + 2 - √3 = 0
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