SOLUTION: Factor each polynomial completely. 6w^2-11w-35

Question 327826: Factor each polynomial completely.
6w^2-11w-35

Answer by romerr1(7) (Show Source): You can put this solution on YOUR website!
6w^2-11w-35
This trinomial is of the form ax^2+bx+c with a=6,b=-11, and c=-35.
Find two numbers whose product is a*c or 6*-35= -210, and whose sum is b or -11.
The numbers are 10 and -21.
Write -11w as 10w-21w
=6w^2+10w-21w-35
Factor by grouping.
=2w(3w+5)-7(3w+5)
=(3w+5)(2w-7)
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