You can put this solution on YOUR website!
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Let's define x as being equal to (t^2+2). If we substitute x for t^2 + 2 the problem
becomes:
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This polynomial can be factored. The 32 has as factor pairs (1 & 32), (2 & 16), and (4 & 8).
Since the multiplier of the term is 1 you just need to examine the factor
pairs of 32. In each pair are there two numbers. Do any of the pairs contain two numbers that
can be added or subtracted to give the +4 multiplier of the x term? The answer to that question
is that the pair (4 & 8) will if the signs are -4 and +8. Therefore, the polynomial
can be factored to . At this point let's substitute for
x in the two factors. When you do the result is:
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Then combine the numbers in each set of parentheses to get:
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The "trick" of letting x equal is just a method to make the factoring
of the polynomial a little easier to recognize and work with. Hope this helps you to
see your way through the problem.
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