Factor the trinomial x^2 - 8x + 16

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01-03-2018
Mathematics

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Factor the trinomial x^2 - 8x + 16

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Astute Astute · Answer 1 · 2018-03-01T19:08:24+01:00

Hey there mate!

Your answer: [tex]\boxed{(x-4)^2}[/tex]

[tex] Factoring : x^2-8x+16 \\ \\ \\ \left[\begin{array}{ccc} -16 + -1 = -17 \\ \\ -8 + -2 = -10 \\ \\ -4 + -4 = -8\end{array}\right] (That's \ it!) \\ \\ \\ Add \ up \ the \first \ 2 \ terms, \ pulling \ out \ like \ factors : \\ \\ x * (x-4) \\ \\ Add \ up \ the \ last \ 2 \ terms, \ pulling \ out \ common \ factors : \\ \\ 4 * (x-4) \\ \\ Multiply \\ \\ \boxed{(x-4) by (x-4) } \\ \\ \\ [/tex]

[tex]Your \ correct \ correct \ answer \ would \ be... \\ \boxed{\boxed{(x-4)^2}}[/tex]

I hope this helps you!