find the quadratic polynomial whose zeroes are 2/3 and -1/4 .
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Answer:
alpha = 2/3 , beta = -1/4
alpha + beta = 2/3 + (-1/4) = 8-3/12 = 5/12
alpha × beta = 2/3 × (-1/4) = -1/6
as we know that....
the system for quadratic polynomial is
x^2 -(alpha + beta)x + alpha × beta = 0
x^2 -5/12x -1/6 = 0
12x^2 -5x -2/12 = 0
12x^2 -5x -2 = 0
Hence, the required polynomial is 12x^2 -5x -2
hope it helps you
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