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Magazine Problem 39
In Exercises 31-48, find all the zeros of the function and write the polynomial as a product of linear factors. $$ g(x)=x^{3}+3 x^{2}-3 x-9 $$
Problem 39
In Exercises 31-40, represent the complex number graphically, and find the standard form of the number. $$ 3\left[\cos \left(18^{\circ} 45^{\prime}\right)+i \sin \left(18^{\circ} 45^{\prime}\right)\right] $$
Problem 39
In Exercises 37-44, write the complex conjugate of the complex number. Then multiply the number by its complex conjugate. $$ -1-\sqrt{5} i $$
Problem 40
In Exercises 31-40, represent the complex number graphically, and find the standard form of the number. $$ 6\left[\cos \left(230^{\circ} 30^{\prime}\right)+i \sin \left(230^{\circ} 30^{\prime}\right)\right] $$
Problem 40
In Exercises 37-44, write the complex conjugate of the complex number. Then multiply the number by its complex conjugate. $$ -3+\sqrt{2} i $$
Problem 40
In Exercises 31-48, find all the zeros of the function and write the polynomial as a product of linear factors. $$ f(x)=x^{3}-8 x^{2}-12 x+96 $$
Problem 41
In Exercises 31-48, find all the zeros of the function and write the polynomial as a product of linear factors. $$ h(x)=x^{3}-4 x^{2}+16 x-64 $$
Problem 41
In Exercises 41-44, use a graphing utility to represent the complex number in standard form. $$ 5\left(\cos \frac{\pi}{9}+i \sin \frac{\pi}{9}\right) $$
Problem 42
In Exercises 31-48, find all the zeros of the function and write the polynomial as a product of linear factors. $$ h(x)=x^{3}+5 x^{2}+2 x+10 $$
Problem 42
In Exercises 37-44, write the complex conjugate of the complex number. Then multiply the number by its complex conjugate. $$ \sqrt{-15} $$
