**Assertion (A):** If the graph of a polynomial touches $x$-axis at only one point, then the polynomial cannot be a quadratic polynomial.

**Reason (R):** A polynomial of degree $n(n 1)$ can have at

Question

**Assertion (A):** If the graph of a polynomial touches $x$-axis at only one point, then the polynomial cannot be a quadratic polynomial.

**Reason (R):** A polynomial of degree $n(n > 1)$ can have at most $n$ zeroes.

Accepted Answer

Step 1: Assertion is false — a quadratic polynomial can touch the $x$-axis at one point (when discriminant $= 0$, e.g. $x^2 - 4x + 4$). Reason is true.

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