find the quadratic polynomial with the sum of zero and product of zeros is root 5
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Answer:
Find a quadratic polynomial whose zeros are 5 and -5.
Sum of zeros =5−5=0.
Products of zeros =5×−5=−25.
Hence, the quadratic polynomial is =kx2+(sum of zeros)x+product of zeros.
Putting the values in quadratic polynomial=kx2−0+(−25).
Hence, the quadratic polynomial is kx2−25, where k is constant.
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Answer:
X²-(√5)X +√5
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