6.4 Solving Polynomial Equations Part #1

6.4 Solving Polynomial Equations Part #1

Directions: Find the notes pictured to right in OneNote. Watch both videos and complete the notes packet. Then try the practice problems and submit your answers!

STOP HERE!

Check your work! If you did not get these correct come back to the Zoom to ask for help!

If you did get these correct, then move on!

STOP HERE!

Check your work! If you did not get these correct come back to the Zoom to ask for help!

If you did get these correct, then move on!

Practice Problems

Directions: Copy each problem down into the notes. Solve.

Then submit your answers!

If you need help, come back to the Zoom!

Multiple Choice

Solve:  $4x^3-3x^2+16x-12=0$  

•  $x=\pm2,\ \frac{3}{4}$  

•  $x=\pm2i,\ \frac{3}{4}$  

•  $x=\pm4,\ \frac{4}{3}$  

•  $x=\pm i\sqrt{2},\ \frac{3}{4}$  

Multiple Choice

Solve:  $9x^3-25x=0$  

•  $x=0,\ \pm\frac{5}{3}$  

•  $x=0,\ \pm\frac{3}{5}$  

•  $x=0,\ 3,\ 5$  

•  $x=0,\ -5,\ -3$  

Multiple Choice

Solve:  $3x^3-x^2+9x-3=0$  

•  $x=\pm3,\ \frac{1}{3}$  

•  $x=\pm i\sqrt{3},\ \frac{1}{3}$  

•  $x=\frac{1}{3},\ \pm\sqrt{3}$  

•  $x=\pm i\sqrt{3},\ 3$  

Multiple Choice

Solve:  $x^3-5x^2=x-5$  

•  $x=1,\ 5$  

•  $x=\pm1,\ 5$  

•  $x=\pm\sqrt{5},\ 1$  

•  $x=\pm i,\ 5$  

Multiple Choice

Solve:  $x^4-x^3+x^2-x=0$  

•  $x=0,\ \pm1$  

•  $x=0,\ \pm2,\ 1$  

•  $x=0,\ 1,\ \pm i$  

•  $x=\pm1,\ \pm i$  

Multiple Choice

Solve:  $x^4=x^3+6x^2$  

•  $x=0,\ 3,\ -2$  

•  $x=0,\ -3,\ 2$  

•  $x=0,\ 3$  

•  $x=2,\ -3$  

Multiple Choice

Solve:  $5x^3-16x^2+3x=0$  

•  $x=0,\ -\frac{4}{3},\ 1$  

•  $x=0,\ -\frac{1}{5},\ 1$  

•  $x=0,\ \frac{1}{5},\ -\frac{8}{3}$  

•  $x=0,\ \frac{1}{5},\ 3$  

Multiple Choice

Solve:  $5x^4-40x^2=0$  

•  $x=0,\ \pm8$  

•  $x=0,\ \pm i\sqrt{2}$  

•  $x=0,\ \frac{5}{8}$  

•  $x=0,\ \pm2\sqrt{2}$  

Multiple Choice

Solve:  $x^3-16x=0$  

•  $x=0,\ \pm4$  

•  $x=\pm16$  

•  $x=0,\ +4i$  

•  $x=0,\ \pm i\sqrt{2}$  

Multiple Choice

Solve:  $x^3+3x^2+2x+6=0$  

•  $x=-4,\ \pm1$  

•  $x=-5,\ \pm i\sqrt{2}$  

•  $x=-4,\ \pm i\sqrt{2}$  

•  $x=-3,\ \pm i\sqrt{2}$