1. Quadratic Graphs and Their Properties
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Is there a greatest common factor between all of the terms in the given expression? If so, you should factor that out first.
3r(5r+1)(2r+3)
We want to completely factor the given expression. To do so, we will first identify and factor out the greatest common factor.
Split into factors
Factor out 3r
3r( 10r^2 + 17r+ 3 ) ⇔ 3r( 10r^2+ 17r+ 3 ) We have that a= 10, b= 17, and c= 3. There are now three steps we need to follow in order to rewrite the above expression.
c|c|c|c 1^(st)Factor &2^(nd)Factor &Sum &Result 2 & 15 & 2 + 15 & 17 3 &10 &3+10 &13 5 &6 &5+6 &11
Factor out 2r
Factor out 3
Factor out (5r+1)