Question from Victor, a student:

How do I factor x squared(x-3)+(x-3) ?

Hi Victor,

The expression x^{2}(x - 3) + (x - 3) has a common factor of (x - 3) so it can be written

x^{2}(x - 3) + (x - 3) = (x^{2} + 1)(x - 3)

Can this be factored further?

Can x^{2} + 1 be factored? If so then x^{2} + 1 = 0 has a real solution.

Graph y = x^{2}? Leave the axes fixed and move the graph upward 1 unit to see the graph of y = x^{2} + 1. Does this graph cross the x-axis?

I hope this helps, Harley