How will you verify if a quadratic polynomial has only one zero?

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Solution

If the graph of a given polynomial touches X - axis at exactly one point, then it has only one zero.
Also we know that if a given polynomial $f (x) = a x^{2} + b x + c$ has only one zero when $D = b^{2} - 4 a c = 0$

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How will you verify if a quadratic polynomial has only one zero?

If the graph of a given polynomial touches X - axis at exactly one point, then it has only one zero.Also we know that if a given polynomial f(x)=ax2+bx+c has only one zero when D=b2−4ac=0

If the graph of a given polynomial touches X - axis at exactly one point, then it has only one zero.
Also we know that if a given polynomial $f (x) = a x^{2} + b x + c$ has only one zero when $D = b^{2} - 4 a c = 0$