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What is x^2 -2x-24 factored completely?

User Zind
by
7.9k points

2 Answers

2 votes

➣ Assignment:
\bold{Factor \ Equation: \ x^2-2x-24}

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➣ Answer:
\boxed{\bold{\left(x+4\right)\left(x-6\right)}}

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Explanation: ↓↓↓↓↓

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➤ [ Step One ] Break Expression Into Groups


\bold{\left(x^2+4x\right)+\left(-6x-24\right)}

➤ [ Step Two ] Factor Out
\bold{x} From
\bold{x^2+4x}


\bold{x\left(x+4\right)}

➤ [ Step Three ] Factor Out
\bold{-6} From
\bold{-6x-24}


\bold{-6\left(x+4\right)}

➤ [ Step Four ] Rewrite Equation


\bold{x\left(x+4\right)-6\left(x+4\right)}

➤ [ Step Five ] Factor Out Common Term
\bold{x+4}


\bold{\left(x+4\right)\left(x-6\right)}

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\bold{\rightarrow Mordancy \leftarrow}

User Arpad Gabor
by
9.6k points
4 votes

If you would factor x^2 -2x-24 using the AC method, the answer would be

(x-6) (x+4)

Hope this helps :)

User Alias Varghese
by
8.1k points