How do you factor x^2 + 4x + 3?

1 Answer
Jun 1, 2016

It is (x+1)(x+3)

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1. Break the expression into groups

color(blue)"How?"
- For formula ax^2+bx+c find u, v such that u·v=a· c and u+v=b
Now just group according to this: (ax^2+ux)+(vx+c)

color(green)"Insert numbers:"

=> (x^2+x)+(3x+3)r

2. Factor out
color(orange)"-" Factor out x from x^2+x => x(x+1)
color(lightblue)"-" Factor out 3 from 3x+3 => 3(x+1)
=x(x+1)+3(x+1)

  1. Factor out the common term which is (x+1)

#=(x+1)(x+3)

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Done color(darkgreen)"✔"