10. If α and β are the zeroes of a quadratic polynomial x2 + x – 2 then find the value of (3 marks)
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Given that α and β are the zeroes of the polynomial x2 - 2x - 15 then
α + β = 2 and αβ = -15
If 2α, 2β are zeros of the quadratic polynomial then the equation is
x2 - 2(α + β)x + 4αβ =0 then
Sum of roots = 2(α + β) = 4
Product of roots = 4αβ = -60
Now the polynomial equation is
x2 - 4x - 60 =0.
Step-by-step explanation:
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