Question

Help with Algebra II please? Simplify and identify any x-values for which the expression is undefined:

Answer 1

Simplify and identify any x-values for th which the expression is undefined:
1) x^2 + 3x + 2 / x^2 - 3x - 4

2) 4x^6 / 2x^4

3) x^2 - x^3 / 2x^2 - 5x + 3

Answer 2

Here is what I got, I would appreciate any feedback / revision!
1) x^2 + 3x + 2 / x^2 - 3x - 4
= (x + 2)(x +1) / (x + 1)(x - 4)
== (x + 2) / (x - 4) , x ≠ -1, x ≠ 4

2) 4x6 / 2x4
= 2x^2 / 1
== 2x2
^^ I know that one is probably wrong.

3) x2 - x3 / 2x2 - 5x + 3
= x2(-x) / (x - 3)(x - 2), x ≠ 3, x ≠ 2

Answer 3

in the third one when you took x^2 common it will be
x^2(1-x) in the numerator not x^2(-x)
the first 2 are correct

Answer 4

and also use ( ) so as the reduce the confusion

Answer 5

@raunaqrox - Thanks man! I knew something was wrong.
So it would be like this;
x^2 - x^3 / 2x^2 - 5x + 3
= x^2(1 - x) / (x - 3)(x - 2); x ≠ 3, x ≠ 2 ?

After thinking about it, I came up with this solution as well;
x^2 - x^3 / 2x2 - 5x + 3
= x^2(1 - x) / 2x(x - 1) - 3(x -1)
== x(1- x) / (2x - 3)(x -1) ; x ≠ 3, x ≠ 1.

Which one would be correct?

Answer 6

in the first solution for 2x^2-5x+3 you factorized it to (x-3)(x-2)
now lets open (x-3)(x-2) = x^2-5x+6
so this is a mistake

Answer 7

2nd one is correct

Answer 8

Alright. Thank you very much for your help!