Conjugate Root Theorem

Use the Complex Conjugate Root Theorem to state another complex solution. Given that 3+5i is a root. 

• -3+5i
• -3-5i
• -5i
• 3-5i

Tags

CCSS.HSN.CN.A.3

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -7i is a root. 

• 7i
• -7i+1
• 1-7i
• 1+7i

Tags

CCSS.HSN.CN.A.3

What is the degree of the following polynomial that has 4 real roots and 2 complex roots?

• 4
• 2
• 8
• 6

All imaginary roots come in pairs.

• True

• False

Tags

CCSS.HSN.CN.C.9

All zeros containing a square root sign come in pairs.

• True

• False

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Which of the following would be the correct factored form with roots 2, 5i, and 6?

• (x-6)(x-2)(x+5i)(x-5i)

• (x+6)(x+2)(x+5i)

• (x-6)(x-2)(x-5i)

• (x+6)(x+2)(x-5i)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

-7i, 3√2, _____, ______

• -7i, 3√2,

• -7i, -3√2,

• 7i, 3√2,

• 7i, -3√2,

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.B.4

Write in factored form using the following roots.

7, -2i

• (x-7)(x-2i)

• (x-7)(x+2i)(x-2i)

• (x-7)(x+2i)

• (x-7)(x+7)(x-2i)

Tags

CCSS.HSN.CN.C.8

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Tags

CCSS.HSA.APR.C.4