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Magazine Problem 46
In Exercises 45-54, write the quotient in standard form. $$ -\frac{14}{2 i} $$
Problem 46
In Exercises 45-60, use the theorem on page 356 to find all the solutions of the equation and represent the solutions graphically. $$ x^{3}-i=0 $$
Problem 47
In Exercises 31-48, find all the zeros of the function and write the polynomial as a product of linear factors. $$ f(x)=x^{4}+10 x^{2}+9 $$
Problem 47
In Exercises 45-54, write the quotient in standard form. $$ \frac{2}{4-5 i} $$
Problem 47
In Exercises 45-60, use the theorem on page 356 to find all the solutions of the equation and represent the solutions graphically. $$ x^{6}+1=0 $$
Problem 47
In Exercises 47-58, perform the operation and leave the result in trigonometric form. $$ \left[2\left(\cos \frac{\pi}{4}+i \sin \frac{\pi}{4}\right)\right]\left[6\left(\cos \frac{\pi}{12}+i \sin \frac{\pi}{12}\right)\right] $$
Problem 48
In Exercises 45-60, use the theorem on page 356 to find all the solutions of the equation and represent the solutions graphically. $$ x^{3}+1=0 $$
Problem 48
In Exercises 45-54, write the quotient in standard form. $$ \frac{5}{1-i} $$
Problem 48
In Exercises 47-58, perform the operation and leave the result in trigonometric form. $$ \left[\frac{3}{4}\left(\cos \frac{\pi}{3}+i \sin \frac{\pi}{3}\right)\right]\left[4\left(\cos \frac{3 \pi}{4}+i \sin \frac{3 \pi}{4}\right)\right] $$
Problem 48
In Exercises 31-48, find all the zeros of the function and write the polynomial as a product of linear factors. $$ f(x)=x^{4}+29 x^{2}+100 $$
