Question

The graph of the cubic polynomial p(x)=x³ meets the X-axis at only one point.State whether the given statement is true or false.

Answer 1

In the attachment i have shown the

graph of the cubic polynomial.

y = x^3

Put y= 0 , we get x=0

The curve
y = x^3 meets X axis at only one point (0,0)
Therefore the given statement is true.

Answer 2

In y = x³ , you can see that 0 is the

x - coordinate of the only point where

the graph of y = x³ intersects the

x - axis .

So , the p( x ) = x³ has only one distinct

zero.

Therefore ,

Given statement is True .

I hope this helps you.

: )