91Ó°ÊÓ

Solve the given problems. Use a calculator in \(E x\) ercises \(40,41,\) and 44. Where does the graph of the function \(f(x)=4 x^{3}+3 x^{2}-20 x-15\) cross the \(x\) -axis?

Perform the indicated divisions by synthetic division. $$\left(2 x^{4}+x^{3}+3 x^{2}-1\right) \div(2 x-1)$$

Form a polynomial equation of the smallest possible degree and with integral coefficients, having a double root of \(3,\) and a root of \(j\).

Solve the given problems. Use a calculator in Exercises \(40,41,\) and 44. Where does the graph of the function \(f(s)=2 s^{4}-s^{3}-5 s^{2}+7 s-6\) cross the \(s\) -axis?

Solve the given problems. Use a calculator in \(E x\) ercises \(40,41,\) and 44. Where does the graph of the function \(f(s)=2 s^{4}-s^{3}-5 s^{2}+7 s-6\) cross the \(s\) -axis?

Perform the indicated divisions by synthetic division. $$\left(6 t^{4}+5 t^{3}-10 t+4\right) \div(3 t-2)$$

Solve the given problems. Use a calculator in Exercises \(40,41,\) and 44. By checking only the equation and the coefficients, determine the smallest and largest possible rational roots of the equation \(2 x^{4}+x^{2}-22 x+8=0\).

Solve the given problems. Use a calculator in \(E x\) ercises \(40,41,\) and 44. By checking only the equation and the coefficients, determine the smallest and largest possible rational roots of the equation \(2 x^{4}+x^{2}-22 x+8=0\).

Use the factor theorem and synthetic division to determine whether or not the second expression is a factor of the first. $$2 x^{5}-x^{3}+3 x^{2}-4 ; \quad x+1$$

Use the factor theorem and synthetic division to determine whether or not the second expression is a factor of the first. $$t^{5}-3 t^{4}-t^{2}-6 ; t-3$$