After factoring the polynomial, how do you determine which values of the variable make the original expression undefined?
the values at which the denominator becomes zero make the function undefined...
You can say the roots of the polynomial in denominator are the values at which the function is not defined.
here is the whole problem In this lesson you learned to check the sign of a polynomial’s leading coefficient. If the coefficient is negative, you can factor out -1 (negative one) first. Then you can factor the rest of the expression more easily. After factoring the polynomial, how do you determine which values of the variable make the original expression undefined? Give an example of a polynomial expression, not from the textbook, that has at least one undefined value and show it in factored form. Finally, read at least two of your classmates' postings and identify the undefined value in their examples.
\[y = 2 / (x ^{2}+5x+6)\]
If you factorize the denominator, the function becomes y = 2 / (x+3)(x+2) So, the denominator becomes zero at x=-3 and x=-2, which is not defined. At these values, function is not defined...
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