Question

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

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

Answer 1

i think 2 and -2

Answer 2

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

Answer 3

yes

Answer 4

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.

Answer 5

so is it -2 and 2 ?

Answer 6

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

Answer 7

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

Answer 8

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