Solving Polynomials by Factoring

Solve:

x² = 49

• ± 7

• -7

• ± 2401

• 7

Tags

CCSS.8.EE.A.2

Solve, choose all that apply.

x³ + 2x² + 5x + 10 = 0

• -2

• 2

• -i√5

• i√5

• 0

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Find all roots:
 $x^3-125=0$  

• {5,  $\frac{-5\pm5i\sqrt{3}}{2}$  }

• {5,  $\frac{-5\pm i\sqrt{83}}{2}$  }

• {5, $\frac{-3\pm i\sqrt{91}}{2}$  }

• {5,  $\frac{-3\pm i\sqrt{83}}{2}$  }

Tags

CCSS.HSA-REI.B.4B

Find all roots:
 $x^3+8x^2+25x=0$  

• {0,  $-3\pm4i$  }

• {0,  $-4\pm3i$  }

• {0,  $-4\pm i\sqrt{7}$  }

• {0,  $\frac{-4\pm i\sqrt{59}}{3}$  }

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Find all roots:
 $x^3+4x^2-4x-16=0$  

• { $-4,-\frac{2}{3},-2$  }

• { $-4,\ \pm2$ }

• { $-4,\ 2,\ -3$  }

• { $-4,\ 2,\ -\frac{2}{3}$  }

Tags

CCSS.HSF-IF.C.7C

Find all roots:
 $x^4-4=0$  

• { $\pm\frac{\sqrt{6}}{3},\ \pm i\sqrt{2}$  }

• { $\pm\frac{i\sqrt{6}}{3},\ \pm i\sqrt{2}$  }

• { $\pm\sqrt{2},\ \pm i\sqrt{2}$  

• { $\pm\sqrt{2},\pm i\sqrt{3}$  }

Tags

CCSS.HSA-REI.B.4B

Find all roots:
 $x^3+1=0$  

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

•  $\left\{0,\pm i\right\}$  

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

•  $\left\{-1,\ \frac{1\pm i\sqrt{7}}{2}\right\}$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.A.1

CCSS.HSN.CN.C.8

Find all roots:
 $x^4-8x=0$  

•  $\left\{0,\ 2,-1\pm i\sqrt{3}\right\}$  

•  $\left\{0,\ 2,\ -1\pm i\sqrt{5}\right\}$  

•  $\left\{0,\ 2,\ -1\pm i\sqrt{2}\right\}$  

•  $\left\{0,\ 1,\ -1\pm i\sqrt{3}\right\}$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3