The sum of the zeroes of a quadratic polynomial is 15/4 and thier product is 3. Find the polynomial.
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Sum = 15/4
Product = 3
General structure of a quadratic polynomial
ax^2 + bx + c
x^2 -(Sum of the Zeroes)x + (Product)
from given,
x^2 - 15/4x + 3
Taking LCM
4x^2 - 15x + 12 = 0 x 4 (i) We have equated the polynomial with zero as after LCM the denominator could be transported there and becomes Zero.
4x^2 - 15x + 12
Therefore Polynomial = 4x^2 -15x +12
Hope it Helped you Mate !
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