SOLUTION: Help! I need to factor completely. If a polynomial is prime, state this. {{{ 40a^8+16a^7+25a^9 }}}

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Question 37276This question is from textbook Elementary Algebra
: Help! I need to factor completely. If a polynomial is prime, state this.
+40a%5E8%2B16a%5E7%2B25a%5E9+
This question is from textbook Elementary Algebra

Found 2 solutions by checkley71, venugopalramana:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
25A~9+40A~8+16A~7 A~7(25A~2+40A+16) OR A~7(5A+4)(5A+4) OR A~7(5A+4)~2

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
y= 40a^8+16a^7+25a^9
=A^7(25A^2+40A+16)
=A^7{(5A)^2+2(5A)(4)+4^2}
=A^7(5A+4)^2