Factoring a quadratic trinomial over the integers
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13y + 30 + y^2
Write out all steps as shown in below example.
Factoring ax^2 + bx + c with a = 1.
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Solution Summary
The procedure of factoring a quadratic trinomial over the integers is described in detail and illustrated with an example.
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First, write 13y+30+y^2 in the descending order of powers:
p = y^2+13y+30
Now, pretend that we have this polynomial factored already. Then the factors are polynomials of degree less than the degree of p. Th degree of p is 2, so the factors will have degree 1. Since the leading coefficient of p is 1, we can assume that ...
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