The given statement is false, that a rational expression is undefined whenever its numerator is zero.
What is rational expression?
A rational expression is the ratio of two polynomials.
When the rational expression is undefined?
A rational expression is undefined when the denominator is equals to zero.
Let p/q be any rational expression. Where, p and q are the two polynomials.
According to the given question, numerator of the rational expression is zero.
⇒ p = 0
Since, when the numerator of any rational expression is zero then the whole expression gives zero.
⇒ 0/q = 0 (we are getting some finite number)
The above expression is defined.
Hence, the given statement is false, that a rational expression is undefined whenever its numerator is zero.
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