If the zeroes of the quadratic polynomial ax2 + bx + c, c $\neq$ 0 are equal, then ______.

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If the zeroes of the quadratic polynomial ax2 + bx + c, c $\neq$ 0 are equal, then c and a have the same sign. Explanation: The zeroes of the given quadratic polynomial ax2 + bx + c where c $\neq$ 0, are equal. If coefficient of x2 and constant term have the same sign i.e. c and a have the same sign. While b i.e., coefficient of x can be positive or negative but not zero. Consider, (i) x2 + 4x + 4 = 0 \implies (x + 2)2 = 0 \implies x = –2, –2 (ii) x2 – 4x + 4 = 0 \implies (x – 2)2 = 0 \implies x = 2, 2

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