- #1
Bigo75
- 8
- 0
Homework Statement
x^2-x+1/x+1 -1/2
Homework Equations
need help factoring this
The Attempt at a Solution
A common denominator would be 2(x+1) but that does not change my numerator
To factor this expression, first recognize that the numerator, x^2-x+1, is a quadratic expression and can be factored as (x-1)(x+1). Then, the expression can be rewritten as (x-1)(x+1)/(x+1) - 1/2. Since (x+1) factors out in both terms, the expression can be further simplified to (x-1)-1/2. Finally, combining like terms, we get x-3/2 as the factored form of the expression.
No, the expression is already in its simplest form, x-3/2.
The domain of this expression is all real numbers except for x = -1, as the denominator cannot equal 0.
No, the expression is not an equation and therefore cannot be solved for a specific value of x.
Yes, factoring can be a useful tool in solving various types of equations, such as quadratic equations and polynomial equations. It involves breaking down an expression or equation into smaller factors to find its solutions.