What numbers should be excluded as values of x in the polynomial?

x squared minus 4x + 4 over x squared minus 5x + 6

Question

What numbers should be excluded as values of x in the polynomial?

x squared minus 4x + 4 over x squared minus 5x + 6

anonymous · Answer

i think 2 and -2

anonymous · Answer

Do you mean: $$ \frac{x^2-4x+4}{x^2-5x+6}$$
?

anonymous · Answer

yes

anonymous · Answer

To be exactly correct it is a rational function and not a polynomial. For rational functions you need to keep the denominator from becoming 0.

anonymous · Answer

so is it -2 and 2 ?

anonymous · Answer

No, that is where the numerator is zero, and it is perfectly fine to have a zero in the numerator.

anonymous · Answer

After factorization, we can cancel out ( x-2), so x = 2 !

anonymous · Answer

the numerator will always be zero but in this case the answer is x=2 because your bascically switching it around. Into a positive.