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Question
If α and β are the zeroes of the polynomial x2 – 1, then the value of (α + β) is ______.
Options
2
1
–1
0
Solution
If α and β are the zeroes of the polynomial x2 – 1, then the value of (α + β) is 0.
Explanation:
Sum of zeroes of the quadratic equation
ax2 + bx + c = 0 is `(-b)/a`
∴ Sum of zeroes of x2 – 1 = x2 + 0x – 1 = 0 is `(-0)/1` = 0
∴ α + β = 0
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