Find the quadratic polynomial whose sum and product of the zeroes are 4 and -15 respectively.
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Answer:
Sum of zeroes = - b/a and
Product of zeroes = c/a
Given ; 4= - b/a and - 15 =c/a
Therefore in both the cases we have a= 1
i.e.,a= 1
Now ; 4= - b/1
4=-b
b= - 4
Similarly ; - 15 =c/1
c = - 15
Therefore, the quadratic polynomial =
x^2 - 4x-15=0
Hope it helps!
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