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. This section consists of 5 questions of 2 marks each.
Explanation
If the graph of a polynomial touches the x-axis at only one point, then the polynomial cannot be a quadratic polynomial. This is because a polynomial of degree n (n>1) can have at most n zeroes. A quadratic polynomial can have at most 2 zeroes, so it cannot touch the x-axis at only one point.
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