Question

If a polynomial p(x) is of degree “n”, it should cut the X axis in “n” points. Say true or false.

• A. True
• B. False

Answer 1

The correct option is B

False

Any polynomial of degree ‘n’ has at most ‘n’ real roots. For example $x^2-2x+1=0$ has TWO roots (both coincident) but the graph of $y=x^2-2x+1$ cuts the X axis in just one point. So there could be cases where the number of times a graph cuts the X axis is less than the maximum number of real roots (degree).