Findethe quadratic polynamial Traum if Weise zeroes is 17andtheprodyct is 60 Hence find
the zeroes of polynomial
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x^2-17x+60
zeroes are 12 and -5
zeroes are 12 and -5
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Let the zeroes be à and ß
Sum of zeroes = 17
à + ß = 17
Product of zeroes = 60
àß = 60
The quadratic polynomial is
x² - (à+ß)x + àß
» x² - 17x + 60
_____________
x² - 17x + 60 = 0
x² -12x-5x + 60 = 0
x(x-12) - 5(x-12) = 0
(x-12) (x-5) = 0
x-12 = 0 ; x = 12
x-5 = 0 ; x = 5
Therefore, the zeroes of the polynomial are 12 and 5
Hope it helps
Sum of zeroes = 17
à + ß = 17
Product of zeroes = 60
àß = 60
The quadratic polynomial is
x² - (à+ß)x + àß
» x² - 17x + 60
_____________
x² - 17x + 60 = 0
x² -12x-5x + 60 = 0
x(x-12) - 5(x-12) = 0
(x-12) (x-5) = 0
x-12 = 0 ; x = 12
x-5 = 0 ; x = 5
Therefore, the zeroes of the polynomial are 12 and 5
Hope it helps
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