Find all possible values of cos(theta) if sin2(theta) = 2tan(theta)

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Ответ:

colyernicholas44

15.10.2021

Mathematics

$\mathrm{Factor}\:x^2+5x+6:\quad \left(x+2\right)\left(x+3\right)$

Step-by-step explanation:

Let us assume the trinomial of the form x^2+bx+c

x^2+5x+6

Break the expression into the groups

$=\left(x^2+2x\right)+\left(3x+6\right)$

Factor out 'x' from x^2+2x

i.e.

$\:x^2+2x=x\left(x+2\right)$

Factor out '3' from 3x+6

i.e.

3x+6 = 3(x+2)

so the expression becomes

$\:x^2+2x=x\left(x+2\right)$

$\mathrm{Factor\:out\:common\:term\:}x+2$

$=\left(x+2\right)\left(x+3\right)$

Hence,

$\mathrm{Factor}\:x^2+5x+6:\quad \left(x+2\right)\left(x+3\right)$

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