SOLUTION: What numbers should be excluded as values of x in the polynomial?
x^2-4x+4
---------
x^2-5x+6
Algebra.Com
Question 347727: What numbers should be excluded as values of x in the polynomial?
x^2-4x+4
---------
x^2-5x+6
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
The number to be excluded are those, if any, that make the denominator zero. This is so because we can never allow a division by zero!
The numbers that make the denominator zero those that are solutions to:
To find the solutions to this quadratic equation we start by factoring:
From the Zero Product Property we know that this (or any) product can be zero only if one (or more) of the factors is zero. So:
x-2 = 0 oe x-3 = 0
Solving these we get:
x = 2 or x = 3.
These are the numbers which must be excluded as values of x (because they make the denominator zero).
RELATED QUESTIONS
What number(s) should be excluded as values of x in the polynomial?
x+2
-----... (answered by ankor@dixie-net.com)
What values of x are excluded from the domain... (answered by ikleyn)
What is the excluded value of x for the polynomial expression: \
2x-4
_____... (answered by jim_thompson5910)
What values for x must be excluded in the following fraction?... (answered by Nate)
what values for x be excluded in the following algebaic fraction? Separate multiple... (answered by jim_thompson5910)
what values for x must be excluded in the following fraction?... (answered by jim_thompson5910)
What values for x must be excluded in the fraction:... (answered by Earlsdon)
Which value(s) of x should be excluded for the polynomial?
x^2-16
------... (answered by jsmallt9)
What are the excluded values?
6/x(x-4)
y+5/y^2 +3y-18
(answered by Cromlix)