Find the zeros of the polynomial and verify the relationship between the zeros and the coefficient x square - 2 X + 1
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Answer:
x² - 2x + 1
Let us find zeroes by splitting middle term..
x²- x - x + 1
x (x - 1) -1 (x - 1)
-------> (x - 1)²
Zeroes are 1, 1
Sum of zeroes: 1 + 1 = 2
Product: 1 × 1 = 1
Also, Sum = -b/a = -(-2)/1 = 2
Product = c/a = 1/1 = 1
Hence, found and verified!
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