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Find the quadratic polynomial the sum …

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Find the quadratic polynomial the sum of zero is-10 and the products its zero is -39
  • 1 answers

Yogita Ingle 4 years, 4 months ago

If α, β  be the zeros of the quadratic polynomial ,then
(x−α)(x−β) is the quadratic polynomial.
Thus, (x−α)(x−β) is the polynomial.
= x2−αx−βx+αβ
=x2−x(α+β)+αβ(i) 
(α+β)=−10 and αβ=-39
Now putting the value of (α+β),αβ in equation (i) we get,
x2−x(−10)+(-39)
=x+ 10x - 39

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