Question

find the zeroes of the quadratic polynomial f(x)=abx^2+b^2x-acx+bc and verify the relationship between its zeroes and co-efficient

Answer 1

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Answer 2

abx^2+(b^2-ac)x-bc
=abx^2+b^2x-acx-bc
=bx(ax+b)-c(ax+b)
=(ax+b)(bx-c)

Therefore, zeroes are -b/a and c/b.
Now the relationship can be verified.