SOLUTION: Factor trinomial b^3-5b^2-14b

Question 442453: Factor trinomial b^3-5b^2-14b
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
Notice that there is a "b" common in every term of this trinomial.
Thus we can factor out a b. So
Now we must factor that quadratic. What multiplies to -14 and adds to -5?
Here are the factors of 14.. plus or minus
1 14
2 7
Ah ha! 2-7 = -5.
So our factorization would be (b+2)(b-7)
Going back, that means our final factorization is

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