Solving Polynomial Inequalities

Use the graph of f(x) to solve the inequality: $f\left(x\right)<0$ 

 

•  $\left(-3,\infty\right)$  

•  $\left(-\infty,-3\right)\cup\left\{2\right\}$  

•  $\left(-\infty,-3\right)$  

•  $\left(-3,2\right)\cup\left(2,\infty\right)$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.10

Use the graph of f(x) to solve the inequality: $f\left(x\right)\ge0$ 

 

•  $\left[-3,\infty\right)$  

•  $\left(-\infty,-3\right]\cup\left\{2\right\}$  

•  $\left(-\infty,-3\right]$  

•  $\left[-3,2\right]\cup\left[2,\infty\right)$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve $f\left(x\right)<0$  , where  $f\left(x\right)=\left(x-1\right)\left(x+3\right)^2$  

•  $\left\{3\right\}\cup\left(1,\infty\right)$  

•  $\left(-\infty,1\right)$  

•  $\left(-\infty,-3\right)\cup\left(-3,1\right)$  

•  $\left(1,\infty\right)$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve the inequality: $x^2+8x<0$  

•  $\left(-8,0\right)$  

•  $\left(-\infty,-8\right)$  

•  $\left(0,\infty\right)$  

•  $\left(-\infty,-8\right)\cup\left(0,\infty\right)$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve the inequality: $x^3+2x^2-3x\ge0$  

•  $\left(-\infty,-3\right)\cup\left(0,1\right)$  

•  $\left[-3,0\right]\cup\left[1,\infty\right)$  

•  $\left(-\infty,-3\right)\cup\left[0,1\right]$  

•  $\left(-3,0\right)\cup\left(1,\infty\right)$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

Solve the inequality: $x^4<9x^2$  

•  $\left(-\infty,-3\right)\cup\left(3,\infty\right)$  

•  $\left(-3,3\right)$  

•  $\left(-\infty,0\right)\cup\left(0,\infty\right)$  

•  $\left(-3,0\right)\cup\left(0,3\right)$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4