Respuesta :

Hello from MrBillDoesMath!

Answer:

(x+13)(x+2)

Discussion:

Key observation: 26 = 13 *2 and 15 = 13 +2 so the trinomal factors as

(x+13)(x+2)

Thank you,

MrB

Assignment: [tex]\bold{Factor \ x^2+15x+26}[/tex]

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Answer: [tex]\boxed{\bold{\left(x+2\right)\left(x+13\right)}}[/tex]

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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]

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[ Step One ] Break Expression Into Groups

[tex]\bold{\left(x^2+2x\right)+\left(13x+26\right)}[/tex]

[ Step Two ] Factor Out x From [tex]\bold{x^{2} \ + \ 2x}[/tex]

[tex]\bold{x^2+2x}[/tex]

[ Step Three ] Factor Out 13 From [tex]\bold{13x+26}[/tex]

[tex]\bold{x\left(x+2\right)+13\left(x+2\right)}[/tex]

[ Step Four ] Factor Out Common Term [tex]\bold{x \ + \ 2}[/tex]

[tex]\bold{\left(x+2\right)\left(x+13\right)}[/tex]

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[tex]\bold{\rightarrow Rhythm \ Bot \leftarrow}[/tex]