Solving Polynomials by Factoring

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:
 $x^3+4x^2-4x-16=0$  

• { $-4,-\frac{2}{3},-2$  }

• { $-4,\ \pm2$ }

• { $-4,\ 2,\ -3$  }

• { $-4,\ 2,\ -\frac{2}{3}$  }

Tags

CCSS.HSF-IF.C.7C

WHAT FACTORING TECHNIQUE do YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF 27a³-729?

• FACTORING BY GCF

• DIFFERENCE OF TWO SQUARES

• DIFFERENCE OF TWO CUBES

• DIAMOND AND BOX METHOD

Write x³ + 9x² + 18x in factored form

• x(x + 6)(x + 3)

• x(x + 9)(x + 2)

• x(x + 6)

• x(x - 6)(x - 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

x² + 12x + 32 = 0

• x = -4, 8

• x = 4, 8

• x = -4, -8

• x = 0, 12

Tags

CCSS.HSA-REI.B.4B

Factor Completely:

2n³ + 7n² - 2n - 7

• cannot be factored

• (n - 1)²(2n + 7)

• (n² - 1)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

Factor the following: 6x⁴ - 9x³ - 8x² + 12x

• (3x² - 4)(2x - 3)

• (3x² + 4)(2x +3)

• x(3x² + 4)(2x + 3)

• x(3x² - 4)(2x - 3)