91Ó°ÊÓ

Find a polynomial function of degree 3 with the given numbers as zeros. $$-1,0,4$$

For the function \(h(x)=x^{3}-x^{2}-17 x-15\) use long division to determine whether each of the following is a factor of \(h(x)\) a) \(x+5\) b) \(x+1\) c) \(x+3\)

For the function \(g(x)=x^{3}-2 x^{2}-11 x+12\) use long division to determine whether each of the following is a factor of \(g(x)\) a) \(x-4\) b) \(x-3\) c) \(x-1\)

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. $$f(x)=x^{10}-2 x^{5}+4 x-2$$

Determine the domain of the function. $$f(x)=\frac{x+1}{x^{2}-6 x+5}$$

For the function \(f(x)=x^{2}+2 x-15,\) solve each of the following. $$f(x) \leq 0$$

Find a polynomial function of degree 3 with the given numbers as zeros. $$-3,2 i,-2 i$$

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. $$h(x)=0,9 x-0,13$$

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. $$f(x)=\frac{1}{4} x^{3}+2 x^{2}$$

Determine the domain of the function. $$f(x)=\frac{(x+4)^{2}}{4 x-3}$$