Question

# Find a quadratic polynomial, the sum and product of whose zeroes are $$0$$ and $$-1$$, respectively.

Solution

## The sum of roots is $$\dfrac{-b}{a}=0\implies b=0$$The product of roots is $$\dfrac{c}{a}= -1\implies c=-a$$So the Quadratic polynomial is $$ax^2-a$$Maths

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