Math CentralQuandaries & Queries


Question from khushboo, a student:

The zeroes of a quadratic polynomial x^2+ax+b are 'c' and 'd'
and the zeroes of a quadratic polynomia lx^2+cx+d=0 are 'a' and 'b'.
find the numerical value of a+b+c+d where a, b, c and d are non zero integers.


For the quadratic polynomial $px^2 + qx + r$ the sum of the roots is $\frac{-q}{p}$ and the product of the roots is $\frac{r}{p}.$ Use these facts for your polynomials.

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