Q2 of 30 Page 36

If the product of zeroes of the polynomial ax2 – 6x – 6 is 4. Find the value of “a”.

Zeroes of polynomial mean roots of a polynomial


The polynomial ax2 – 6x – 6 is a quadratic equation


Compare ax2 – 6x – 6 with standard form of quadratic equation:


px2 + qx + r we get


p = a, q = –6 and r = –6


For a quadratic equation, the product of roots is


The product of roots is given as 4



Substituting values r = –6 and p = a





Hence


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