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3 years ago

3. Factor x2 + 5x + 6.

Mathematics

2 answers:

tino4ka555 [31]3 years ago

6 0

Answer:

( x+3) (x+2)

Step-by-step explanation:

x^2 + 5x + 6.

What two numbers multiply to 6 and add to 5

(3*2) = 6

3+2 = 5

( x+3) (x+2)

kotykmax [81]3 years ago

6 0

Answer:

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

Step-by-step explanation:

$x^2+5x+6\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+2x\right)+\left(3x+6\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+2x\mathrm{:\quad }x\left(x+2\right)\\\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}3x+6\mathrm{:\quad }3\left(x+2\right)\\=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\=\left(x+2\right)\left(x+3\right)$

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