91Ó°ÊÓ

Find a polynomial function of degree 3 with the given numbers as zeros. $$-2,3,5$$

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

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. $$g(x)=\frac{1}{2} x^{3}-10 x+8$$

For the function $$f(x)=x^{4}-6 x^{3}+x^{2}+24 x-20$$ use long division to determine whether each of the following is a factor of \(f(x)\) a) \(x+1\) b) \(x-2\) c) \(x+5\)

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

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. $$f(x)=x^{5}-x^{2}+6$$

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. $$f(x)=15 x^{2}-10+0.11 x^{4}-7 x^{3}$$

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

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. $$f(x)=-x^{2}+x^{4}-x^{6}+3$$

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