How do you factor the expression $x^{2} + 3 x + 2$ $x^2 + 3x + 2$ ?

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Answer 1 · 2018-03-30T08:53:00

$x^{2} + 3 x + 2 = (x + 1) (x + 2)$ $x^2+3x+2 = (x+1)(x+2)$

Note that in general:

$(x + a) (x + b) = x^{2} + (a + b) x + a b$ $(x+a)(x+b) = x^2+(a+b)x+ab$

So can we think of two numbers $a, b$ $a, b$ such that $a + b = 3$ $a+b=3$ and $a b = 2$ $ab = 2$ ? How about $1$ $1$ and $2$ $2$ ?

So:

$x^{2} + 3 x + 2 = (x + 1) (x + 2)$ $x^2+3x+2 = (x+1)(x+2)$

How do you factor the expression x^2 + 3x + 2x2+3x+2x^2 + 3x + 2?