MathematicsHow do you solve: x2+3x+2?

How do you solve: $x^{2} + 3 x + 2$ ?

A
$- 2, - 1$
B
$2, - 1$
C
$- 2, 1$
D
$2, 1$

Solution:

Given:

x^{2} + 3 x + 2

Therefore, the equation is formed as,

\Rightarrow x^{2} + 3 x + 2 = 0

\Rightarrow x^{2} + (2 + 1) x + 2 = 0

\Rightarrow x^{2} + 2 x + x + 2 = 0

\Rightarrow x (x + 2) + 1 (x + 2) = 0

\Rightarrow (x + 2) (x + 1) = 0

Either,

\Rightarrow x + 2 = 0

\Rightarrow x = - 2

Or,

\Rightarrow x + 1 = 0

\Rightarrow x = - 1

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