SOLUTION: I believe this is a quadratic equation: The question is: given that (x-3) and (x+4) are factors of x^3 + 6x^2-7x-60, I need to find a third first degree factor and then find the f

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I believe this is a quadratic equation: The question is: given that (x-3) and (x+4) are factors of x^3 + 6x^2-7x-60, I need to find a third first degree factor and then find the f      Log On


   

Question 155394: I believe this is a quadratic equation: The question is: given that (x-3) and (x+4) are factors of x^3 + 6x^2-7x-60, I need to find a third first degree factor and then find the factor. I tried grouping (x^ + 6x^) - (7x + 60) I could factor x^ out of the first grouping but I can't seem to find a common factor out of the 2nd grouping.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x^3 + 6x^2-7x-60,(x-3) and (x+4)
-------------
X-3
X+4 MULTIPLY
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X^2-3X+4X-12=X^2+X-12
NOW DIVIDE THE X^3 EQUATION BY THIS PRODUCT TO GET THE THIRD FACTOR:
------------------X+5 ANSWER FOR THE THIRD FACTOR.
---------_________________
X^2+X-12 )X^3+6X^2-7X-60
**********X^3+X^2-12X
**********-------------
**************5X^2+5X-60
**************5X^2+5X-60
**************-----------
**************0+0+0
PROOF:
X^2+X-12
X+5 MULTIPLY
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X^3+X^2-12X+5X^2+5X-60
X^3+6X^2-7X-60