Question

State whether True or False.

If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.

• A. True
• B. False

Answer 1

The correct option is B False

The polynomials of the form $(x+a{)}^2$ and $(x-a{)}^2$ has only equal roots and graph of these polynomials cut the $x$-axis at only one point.

These polynomials are quadratic polynomials.

For example :

$x^2+2x+1=0$ cuts the $x$-axis at only one point i.e. $x=-1$

Thus, the given statement is false.