Question

select the correct answer from the drop-down menu. given polynomials p and q, select the operation that would create a statement that is not always true. the of p and q is a polynomial. drop-down menu options: product, sum, difference, quotient reset next

Explanation:

Polynomials are closed under addition, subtraction, and multiplication (sum, difference, product of two polynomials is always a polynomial). But the quotient of two polynomials (e.g., \(P(x) = x\), \(Q(x)=x^2\), \(\frac{P(x)}{Q(x)}=\frac{1}{x}\) which is not a polynomial) is not always a polynomial. So the operation that creates a non - always - true statement is quotient.

Answer:

quotient