12 Find a quadratic polynomial with given numbers as the sum and product of zero
respectively 0,-√2
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SOLUTION : Let the quadratic equation be ax² + bx + c whose roots are ß and ¢
sum of zeroes = 0 [ GIVEN ]
ẞ + ¢ = 0
Product of the zeroes = - √2 [ GIVEN ]
ߢ = - √2
ax² + bx + c = x² - ( ß + ¢ )x + ߢ
= x² - 0.x + ( - √2 )
= x² - √2
Hence , x² -√2 is a quadratic equation
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