91Ó°ÊÓ

Solve the inequality and express your answer in interval notation. $$2-3 x < 11$$

Find the remainder when \(f(x)\) is divided by \(g(x)\) without using synthetic or long division. $$f(x)=2 x^{27}+x^{2}+x+8 ; \quad g(x)=x$$

Directions: When asked to find the roots of a polynomial, find exact roots whenever possible and approximate the other roots. In Exercises \(1-15,\) find all the rational mots of the polynomial. $$3 x^{3}+17 x^{2}+35 x+25$$

In Exercises \(1-54,\) perform the indicated operation and write the result in the form \(a+b i\). $$\frac{5}{4}-\left(\frac{7}{4}+2 i\right)$$

Determine if \(g(x)\) is a factor of \(f(x)\) without using synthetic division or long division. $$f(x)=x^{5}-3 x^{3}-2 x^{2} ; \quad g(x)=x-2$$

Find the domain of the function. $$j(x)=\frac{x}{\pi x^{3}+\pi x^{2}-9 \pi x-9 \pi}$$

Solve the inequality and express your answer in interval notation. $$6 x+3 \leq x-5$$

Directions: When asked to find the roots of a polynomial, find exact roots whenever possible and approximate the other roots. In Exercises \(1-15,\) find all the rational mots of the polynomial. $$6 x^{3}-11 x^{2}-19 x-6$$

Determine if \(g(x)\) is a factor of \(f(x)\) without using synthetic division or long division. $$f(x)=3 x^{3}+5 x^{2}-2 x+3 ; \quad g(x)=x+1$$

In Exercises \(1-54,\) perform the indicated operation and write the result in the form \(a+b i\). $$(\sqrt{3}+i)+(\sqrt{5}-2 i)$$