How do you factor $x^{2} + 4 x + 3$ $x^2 + 4x + 3$ ?

Question

How do you factor $x^{2} + 4 x + 3$ $x^2 + 4x + 3$ ?

1 Answer

Impact of this question

1698 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-01T19:25:25

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

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1. Break the expression into groups

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

$Insert numbers:$ $color(green)"Insert numbers:"$

$\Rightarrow$ $=>$ $(x^{2} + x) + (3 x + 3) r$ $(x^2+x)+(3x+3)r$

2. Factor out
$-$ $color(orange)"-"$ Factor out $x$ $x$ from $x^{2} + x$ $x^2+x$ $\Rightarrow$ $=>$ $x (x + 1)$ $x(x+1)$
$-$ $color(lightblue)"-"$ Factor out $3$ $3$ from $3 x + 3$ $3x+3$ $\Rightarrow$ $=>$ $3 (x + 1)$ $3(x+1)$
$= x (x + 1) + 3 (x + 1)$ $=x(x+1)+3(x+1)$

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

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

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Done $color(darkgreen)"✔"$

Science

Math

Humanities

... and beyond

How do you factor $x^{2} + 4 x + 3$ $x^2 + 4x + 3$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you factor x^2 + 4x + 3x2+4x+3x^2 + 4x + 3?

1 Answer

Related questions

Impact of this question

How do you factor $x^{2} + 4 x + 3$ $x^2 + 4x + 3$ ?