SOLUTION: Can you tell me if my answer is right or not if not can you tell me what i did wrong. Factor completely x^3 - 26x^2 + 48x x(x^2 - 26x + 48) = x(x^2 - 2x) (x

SOLUTION: Can you tell me if my answer is right or not if not can you tell me what i did wrong. Factor completely x^3 - 26x^2 + 48x x(x^2 - 26x + 48) = x(x^2 - 2x) (x - 24)

Question 116912: Can you tell me if my answer is right or not if not can you tell me what i did wrong.
Factor completely
x^3 - 26x^2 + 48x
x(x^2 - 26x + 48)
= x(x^2 - 2x) (x - 24)
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
X^3-26X^2+48X
X(X^2-26X+48)
X(X-2)(X-24) YOU HAVE (X^2-2X) WHICH IS INCORRECT.
IF YOU MULTIPLY YOUR FACTORS:
X^2-2X
X-24
-----------------------------------
X^3-2X^2-24X^2+48X
X^3-26X^2+48X HOWEVER YOU HAVE ALREADY FACTORED OUT THE X TERM FROM ALL ELEMENTS WHICH IF YOU MULTIPLIES THIS TERM BY X YOU WOULD GET
X^4-26X^3+48X^2 WHICH IS NOT WHAT YOU STARTED WITH.
------------------------------------------
MULTIPLY MY FACTORS
X-2
X-24
-------------
X^2-2X-24X+48
(X^2-26X+48) WHICH IS WHAT YOU FACTORED AFTER YOU EXTRACTED THE COMMON X TERM.
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