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 Pre-Calculus Pre-Calculus Math Forum

 February 23rd, 2019, 05:57 AM #1 Senior Member   Joined: Dec 2015 From: somewhere Posts: 645 Thanks: 92 Need explanation Just give the hint . (1) If $\displaystyle a+b+c=0 \;$ and $\displaystyle a\neq b \neq c\;$ a,b,c real numbers . Show that $\displaystyle \frac{a^2 }{bc +2a^2 } +\frac{b^2 }{ac+2b^2 } +\frac{c^2 }{ ab+2c^2 }=1$ . (2) Factorize the polynomial : $\displaystyle x^7 +x^5 +1$ .
 February 23rd, 2019, 09:52 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,973 Thanks: 2224 (1) Replace $a$ with $-(b + c)$ throughout the left-hand side of the equation to be proved. (2) Try to find a quadratic factor. Thanks from topsquark and idontknow

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