



 
Hi, Many times the key to solving an algebra problem is recognizing a pattern. It's like hearing the first few bars of a song for the first time and knowing immediately the group that is performing it. That skill you get from hearing the group so many time s that you easily recognize its sound. The same is true of algebra. If you have worked with algebraic expressions often enough you see patterns. What I see in The expression z^{5}  3z^{4} + 2z^{3} + z^{2}  3z + 2 is
I have grouped the terms in this way because the coefficients match, 2, 3 and 2. Hence I can write the expression
and see (z^{2}  3z + 2) as a common factor so that the expression becomes
Can you complete the problem from here? Write back if you need more assistance,
Hi Gagan. Look for factoring opportunities first. See the coefficients: 1, 3, 2, 1, 3, 2. There's a repeated group, so (z^{2}  3z + 2) (z^{3} + 1) Now can you finish factoring and solve the problem? Write back if you need more help.  


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