91Ó°ÊÓ

Between two consecutive zeros, a polynomial must be entirely ______________ or entirely __________________.

The rational expression \(p(x) / q(x)\) is called ___________ if the degree of the numerator is greater than or equal to that of the denominator, and is called ____________ if the degree of the numerator is less than that of the denominator.

For the rational function given by \(f(x)=N(x) / D(x),\) if the degree of \(N(x)\) is exactly one more than the degree of \(D(x)\), then the graph of \(f\) has a _____________ (or oblique) _____________.

The formula that relates cost, revenue, and profit is _____________.

Every polynomial of degree \(n>0\) with real coefficients can be written as the product of ________ and _____________. factors with real coefficients, where the ____________ factors have no real zeros.

The _______ Theorem states that if a polynomial \(f(x)\) is divided by \(x-k\), the remainder is \(r=f(k)\).

Determine whether each value of \(x\) is a solution of the inequality. Inequality. \(\begin{array}{lll}\frac{x+2}{x-4} \geq 3 & \text { (a) } x=5 & \text { (b) } x=4 \\ & \text { (c) } x=-\frac{9}{2} & \text { (d) } x=\frac{9}{2}\end{array}\)

Use long division to divide. \(\left(6 x^{3}-16 x^{2}+17 x-6\right) \div(3 x-2)\)

Use long division to divide. \(\left(x^{3}-27\right) \div(x-3)\)

Solve the inequality and graph the solution on the real number line. . \(\frac{x+12}{x+2}-3 \geq 0\)