No one has ever become poor by helping
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i hope this will help you
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Answer =x^2-24x+128
Full solution:
f(x)=x^2 -(alpha + beta)x+ alpha × beta.
Alpha+Beta=24 ..let it be equation 1
Alpha-Beta=8 ..let it be equation 2
Adding equation 1 and 2.
Alpha+Beta=24
Alpha-Beta=8
2Alpha=32
Dividing whole equation by 2.
then,
Alpha = 16 ..equation 3
Subtracting equation 2 from 1.
Alpha+Beta=24
Alpha-Beta=8
- + -
2Beta =16
Dividing whole equation by 2
Beta = 8 ..equation 4
then multiplying equation 3 and 4.
Alpha × Beta = 16×8
Alpha ×Beta = 128
Putting the value in the polynomial formula.
x^2 -(alpha + beta)x+ alpha × beta.
x^2 -(24)x+ 128
=x^2-24x+128
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