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If and are zeros of the polynomial write the value of a.

using the relationship between the zeroes of the quadratic polynomial.

    \[\begin{aligned} &\text { Sum of zeroes }=\frac{-\left(\text { coefficient of } x^{2}\right)}{\text { coefficient of } x^{3}} \\ &\Rightarrow a-b+a+a+b=\frac{-(-6)}{2} \\ &\Rightarrow 3 a=3 \\ &\Rightarrow a=1 \end{aligned}\]