Are the following statements ‘true’ or ‘False’? Justify your answer.
If the graph of a polynomial intersects the x - axis at only one point it need not be a quadratic polynomial.

Question

Are the following statements ‘true’ or ‘False’? Justify your answer. If the graph of a polynomial intersects the x - axis at only one point it need not be a quadratic polynomial.

Philoid · Accepted Answer

If the graph of a polynomial intersects the x - axis at only one point it need not be a quadratic polynomial: True.

The quadratic polynomial cuts the x - axis at most at two points i.e. it can either touch x - axis at two points or one point or doesn’t touch the axis at all.

Hence the polynomial intersecting the x - axis at only one point need not be a quadratic polynomial.

Are the following statements ‘true’ or ‘False’? Justify your answer.If the graph of a polynomial intersects the x - axis at only one point it need not be a quadratic polynomial.

Are the following statements ‘true’ or ‘False’? Justify your answer.
If the graph of a polynomial intersects the x - axis at only one point it need not be a quadratic polynomial.