Draw the graph of p(x) = x 2 + 1 and find the real zeros of this polynomial.

Question

Philoid · Accepted Answer

Taking values as x = –3, –2, –1, 0, 1, 2, 3 in p(x), we obtain the following table:

Plotting these points on graph paper, we obtain the following figure:

The graph does not intersect the X -axis at any point.

∴ p(x) has no real zero.

Draw the graph of p(x) = x2 + 1 and find the real zeros of this polynomial.