find the quadratic polynomial whose. Sum and
product of zeroes of are 1 /4and -1
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1
Answer:
A.T.Q,
Sum of zeroes (alfa +beta)=1/4
Product of zeroes (alfabeta)= -1
Quadratic polynomial= x^2-(alfa +beta)x +alfabeta=0
=x^2 -1/4x +(-1)=0
=4x^2-1x-4=0
=4x^2-1x-4=0 ans.
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1/4, - 1
Using the quadratic equation formula,
x² −(Sum of root)x+(Product of root)=0
Substitute the value in the formula, we get
x² - 1/4x - 1 =0
4x² - x - 4 = 0
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