7.1/7.2 Quiz

State the possible rational roots for the equation

 $4x^6-8x^4-x^2+2=0$  

•  $\pm1,\ \pm2,\ \pm\frac{1}{2},\ \pm\frac{1}{4}$  

•  $\pm1,\ \pm5$  

•  $0,\ \pm1,\ \pm\frac{1}{2},\ \pm\frac{1}{4}$  

•  $\pm1,\ \pm2,\ \pm4,\ \pm\frac{1}{2}$  

State the possible rational roots for the equation

 $2x^3-13x^2+12x+15$  .

•  $0,\ \pm1,\ \pm2$  

•  $\pm1,\ \pm2$  

•  $\pm1,\ \pm3,\ \pm5,\ \pm15$  

•  $\pm1,\ \pm3,\ \pm5,\ \pm15,\ \pm\frac{1}{2},\ \pm\frac{3}{2},\ \pm\frac{5}{2},\ \pm\frac{15}{2}$  

Find all the rational roots of

 $6x^3-7x^2-9x-2=0$  

•  $2,\ \ -\frac{1}{2}$  

•  $-2,\ \frac{1}{2},\ \frac{1}{3}$  

•  $2,\ \frac{1}{2},\ \frac{1}{3}$  

•  $2,\ -\frac{1}{2},\ -\frac{1}{3}$  

Tags

CCSS.HSF-IF.C.7C

Find all the rational roots of

 $x^4-6x^3+11x^2-6x=0$  

•  $1,\ 2,\ 3$  

•  $0,\ 1,\ 2,\ 3$  

•  $0,\ -1,\ -2,\ -3$  

•  $-1,\ -2,\ -3$  

Find all the rational roots of

 $2x^3+x^2-2x-1=0$  

•  $0,\ -\frac{1}{2},\ 1$  

•  $0,\ -\frac{1}{2},\ -1$  

•  $-\frac{1}{3},\ 1,\ -1$  

•  $-\frac{1}{2},\ 1,\ -1$  

Tags

CCSS.HSF-IF.C.7C

A laboratory's supply company is designing a new rectangular box in which to ship glass pipes. The company has created a box with a width 2 inches shorter than its length and a height 9 inches taller than twice its length. The volume of each box must be 45 cubic inches. What are the box's dimensions?

• length = 3 inches, width = 1 inch, height = 15 inches

• length = 3 inches, width = 5 inches, height = 12 inches

• length = 5 inches, width = 3 inches, height = 19 inches

• length = 3 inches, width = 1 inch, height = 6 inches

Find all the roots of

 $x^3+27=0$  

•  $-\frac{3}{2},\ \frac{3\pm3i\sqrt{3}}{2}$  

•  $-3,\ \frac{-1\pm i\sqrt{35}}{2}$  

•  $-3,\ \frac{1\pm i\sqrt{11}}{2}$  

•  $-3,\ \frac{3\pm3i\sqrt{3}}{2}$  

Find all the roots of

 $x^6+124x^3-125=0$  

•  $-\frac{5}{2},\ \frac{5\pm i\sqrt{79}}{2},\ 1,\ \frac{-1\pm i\sqrt{3}}{2}\$  

•  $-5,\ \frac{5\pm5i\sqrt{3}}{2},\ 1,\ \frac{-1\pm i\sqrt{3}}{2}$  

•  $-5,\ \frac{5\pm5i\sqrt{3}}{2},\ 1,\ \frac{-1\pm i\sqrt{11}}{6}$  

•  $-5,\ \frac{5\pm i\sqrt{67}}{2},\ 1,\ \frac{-1\pm i\sqrt{3}}{2}$  

Find all the roots of

 $3x^4+28x^2+9=0$  

•  $\pm\frac{i\sqrt{3}}{3},\ \pm i\sqrt{10}$  

•  $\pm\frac{i\sqrt{3}}{3},\ \pm2i\sqrt{2}$  

•  $\pm\frac{i\sqrt{3}}{3},\ \pm3i$  

•  $\pm i,\ \pm3i$  

Tags

CCSS.HSA-REI.B.4B

Find all the rational roots of

 $4x^3-x^2-4x+1=0$  . Identify any multiplicities greater than 1.

•  $\frac{1}{4},\ -1,\ 1$  

•  $\frac{1}{4},\ -1\ mult.\ 2$  

•  $\frac{1}{2},\ -1,\ 1$  

•  $-\frac{1}{2},\ -1,\ 1$  

Tags

CCSS.HSF-IF.C.7C