Question

Factor each trinomial. a. x^2+15x+26

Answer 1

Assignment: $\bold{Factor \ x^2+15x+26}$

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Answer: $\boxed{\bold{\left(x+2\right)\left(x+13\right)}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Break Expression Into Groups

$\bold{\left(x^2+2x\right)+\left(13x+26\right)}$

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

$\bold{x^2+2x}$

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

$\bold{x\left(x+2\right)+13\left(x+2\right)}$

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

$\bold{\left(x+2\right)\left(x+13\right)}$

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$\bold{\rightarrow Rhythm \ Bot \leftarrow}$

Answer 2

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