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| Math Central | Quandaries & Queries |
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Question from Victor, a student: How do I factor x squared(x-3)+(x-3) ? |
Hi Victor,
The expression x2(x - 3) + (x - 3) has a common factor of (x - 3) so it can be written
x2(x - 3) + (x - 3) = (x2 + 1)(x - 3)
Can this be factored further?
Can x2 + 1 be factored? If so then x2 + 1 = 0 has a real solution.
Graph y = x2? Leave the axes fixed and move the graph upward 1 unit to see the graph of y = x2 + 1. Does this graph cross the x-axis?
I hope this helps,
Harley
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