91Ó°ÊÓ

Find a polynomial function of degree 3 with the given numbers as zeros. $$-5, \sqrt{3},-\sqrt{3}$$

For the function $$ g(x)=\frac{x-2}{x+4} $$ solve each of the following. $$g(x)=0$$

For each function: a) the maximum number of real zeros that the function can have; b) the maximum number of \(x\)-intercepts that the graph of the function can have; and c) the maximum number of turning points that the graph of the function can have. $$f(x)=-3 x^{4}+2 x^{3}-x-4$$

Use long division to find the quotient \(Q(x)\) and the remainder \(R(x)\) when \(P(x)\) is divided by \(d(x) .\) Express \(P(x)\) in the form \(d(x) \cdot Q(x)+R(x)\) $$\begin{array}{l}P(x)=2 x^{3}-3 x^{2}+x-1 \\\d(x)=x-3\end{array}$$

Determine the leading term, the leading coefficient, and the degree of the polynomial. Then classify the polynomial function as constant, linear, quadratic, cubic, or quartic. $$h(x)=2.4 x^{3}+5 x^{2}-x+\frac{7}{8}$$

Determine the domain of the function. $$f(x)=\frac{x^{2}+3 x-10}{x^{2}+2 x}$$

For the function $$ g(x)=\frac{x-2}{x+4} $$ solve each of the following. $$g(x) > 0$$

Find a polynomial function of degree 3 with the given numbers as zeros. $$1-\sqrt{3}, 1+\sqrt{3},-2$$

Determine the leading term, the leading coefficient, and the degree of the polynomial. Then classify the polynomial function as constant, linear, quadratic, cubic, or quartic. $$h(x)=-5 x^{2}+7 x^{3}+x^{4}$$

Use long division to find the quotient \(Q(x)\) and the remainder \(R(x)\) when \(P(x)\) is divided by \(d(x) .\) Express \(P(x)\) in the form $d(x) \cdot Q(x)+R(x)$$$\begin{array}{l}P(x)=x^{3}+6 x^{2}-25 x+18 \\\d(x)=x+9\end{array}$$