Consider a2+2ab−2b−1 as a polynomial over variable a.
a2+2ba−2b−1
Find one factor of the form ak+m, where ak divides the monomial with the highest power a2 and m divides the constant factor −2b−1. One such factor is a−1. Factor the polynomial by dividing it by this factor.
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Step-by-step explanation:
[tex]Solution Steps

a2+2ab−2b−1
Consider a2+2ab−2b−1 as a polynomial over variable a.
a2+2ba−2b−1
Find one factor of the form ak+m, where ak divides the monomial with the highest power a2 and m divides the constant factor −2b−1. One such factor is a−1. Factor the polynomial by dividing it by this factor.
(a−1)(a+2b+1)
[/tex]