Is the quotient of a nonzero rational number and an irrational number always irrational? Explain

In general, the quotient of two rational numbers (given the denominator is not 0) is rational. Because a rational z contradicts our definition that x is irrational, this must mean z is irrational. Therefore, the product of a rational and irrational number is irrational

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let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.