How do you factor completely: #2x^2 + 4x − 2#?
The phrase "factor completely" is not unambiguous as one might think.
When we factor poynomials, we usually have some perticula set of numbers we are willing to use as coefficients. In early aalgebra classes, we usually restrict ourselves to integer coefficinents.
(The only possibility to get
Using Rational Numbers
We can get the factors for the plolynomial
by solving the equation
So the factors are:
# = 2(x+1-sqrt2))(x+1-sqrt2))#.