(i) x2 – 2x -8 find the zeros of the polynomial and verify the relationship between the zeros and the cofficients.
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Step-by-step explanation:
P(x) = x²-2x
Zeroes of p(x) ,
P(x) = x(x-2)
∴ x = 0 or x = 2
Relationship between Coefficient and zeros of P(x)
Sum of zeroes = -b/a = -(-2)/1
⇒ sum = 2
product of Zeroes = c/a = 0 / 1 ⇒ 0
Adding the zeroes = 2+0 = 2
Product = 2x0 = 0
Thus, verified.
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