Question 54759
Determine the value/s of the variable where the expression is undefined : 
{{{-16 / (j-3)}}}  
Fractions are undefined when their denominators=0.
j-3=0
j-3+3=0+3
j=3  Makes the rational expression undefined.
:
Solve by factoring : x^2+3x+2
This is in {{{ax^2+bx+c}}}form:
a=1, b=3, c=2
We need two numbers that multiply together to give you c, but add together to give you b.
x*x=x^2
(x___)(x___)
1*2=2(c)  and 1+2=3(b)
(x+1)(x+2)
:
Factor Completely: 3x^3-3x^2-6x
First factor out the GCF (greatest common factor)
{{{3x^3-3x^2-6x}}}
{{{3x(x^2)+3x(-x)+3x(-2)}}}
{{{3x(x^2-x-2)}}} a=1, b=-1, c=-2
{{{3x(x___)(x___)}}}
1*-2=-2(c) and 1+(-2)=-1 (b)
{{{3x(x+1)(x-2)}}}
Happy Calculating!!!