Share/Like This Page
Browse Questions

Common Core Standard HSN-CN.C.8 Questions

(+) Extend polynomial identities to the complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x – 2i).

You can create printable tests and worksheets from these questions on Common Core standard HSN-CN.C.8! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Previous Page 1 of 2 Next
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
If x+2(1-√3i) is a factor of x3-64, which of the following are also factors? Choose all that apply.
  1. x-4
  2. x+2(1+√3i)
  3. x-2(1-√3i)
  4. x-2(1+√3i)
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Which of the following are equivalent to x4-16? Choose all that apply.
  1. (x+2)(x3-2i x2-4x+8i)
  2. (x+2)(x-2)(x+2i)(x-2i)
  3. (x+2)(x-2)(x2+4)
  4. (x+2i)(x-2i)(x2-4)
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Which of the following are equivalent to 4x4-81? Choose all that apply.
  1. (√2x-3)(√2x+3)(√2x-3i)(√2x+3i)
  2. (4√4x-3)2(4√4x+3)2
  3. (2x2-9)(2x2+9)
  4. (12x+3)(12x-3)(2x2+9)
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Factor quadratic expression x2+121.
  1. (x-11i)(x-11i)
  2. (x+11i)(x-11i)
  3. (x+11i)(x+11i)
  4. (x+11i2)(x-11i2)
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Factor the quadratic expression x2+144.
  1. (x+12i2)(x-12i2)
  2. (x-12i)(x-12i)
  3. (x+12i)(x+12i)
  4. (x+12i)(x-12i)
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Factor the quadratic expression x2+169.
  1. (x+13i)(x+13i)
  2. (x+13i)(x-13i)
  3. (x-13i)(x-13i)
  4. (x+13i2)(x+13i2)
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Factor the quadratic expression x2+16.
  1. (x-4i)(x-4i)
  2. (x+4i)(x+4i)
  3. (x+4i)(x-4i)
  4. (x+4i2)(x-4i2)
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Factor the quadratic expression x2+81.
  1. (x+9i)(x-9i)
  2. (x+9i)(x+9i)
  3. (x-9i)(x-9i)
  4. (x+9i2)(x+9i2)
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Factor the quadratic expression x2+25.
  1. (x+5i)(x+5i)
  2. (x+5i)(x-5i)
  3. (x-5i)(x-5i)
  4. (x+5i2)(x-5i2)
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Factor the quadratic expression x2+49.
  1. (x+7i2)(x-7i2)
  2. (x-7i)(x-7i)
  3. (x+7i)(x+7i)
  4. (x+7i)(x-7i)
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Factor the quadratic expression x2+100.
  1. (x+10i)(x+10i)
  2. (x-10i)(x-10i)
  3. (x+10i)(x-10i)
  4. (x+10i2)(x-10i2)
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Factor the quadratic expression x2+256.
  1. (x-16i)(x-16i)
  2. (x+16i)(x-16i)
  3. (x+16i)(x+16i)
  4. (x+16i2)(x-16i2)
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Which of the following is the factored form of x3+8 over the complex numbers?
  1. (x+2)(x-1+√3 i)(x-1-√3 i)
  2. (x+2)(x-2)(x+2)
  3. (x+2)(x-2i)(x+2i)
  4. (x+2)(x+2+2√3 i)(x-2-2√3 i)
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Factor x4-1.
  1. (x2+1)(x+1)(x+i)
  2. (x+1)(x-1)(x+1+i)(x-1-i)
  3. (x+1)(x-1)(x+i)(x-i)
  4. (x+1)(x-1)(x+√2i)(x-√2i)
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
If x-32+32√3 i is a factor of x3+27, which of the following are also factors of this polynomial?
  1. x-3
  2. x+32-32√3
  3. x-32-32√3 i
  4. x+32-32√3 i
Grade 12 Complex Numbers CCSS: HSN-CN.C.8
Factor. x2+16
  1. √16i
  2. (x-4i)(x+4i)
  3. ±√4
  4. (x+2i)(x-2i)
Grade 12 Complex Numbers CCSS: HSN-CN.C.8
Factor. x2+12
  1. 2√3i
  2. (x-4i)(x+4i)
  3. ±√12
  4. (x+2√3i)(x-2√3i)
Grade 12 Complex Numbers CCSS: HSN-CN.C.8
Factor. x2+64
  1. (x+8i)(x-8i)
  2. (x-8)(x+8)
  3. ±√64
  4. (x+64i)(x-64i)
Grade 12 Complex Numbers CCSS: HSN-CN.C.8
Factor. x2+100
  1. √100i
  2. (x-10)(x+10)
  3. ±√100
  4. (x+10i)(x-10i)
Previous Page 1 of 2 Next

Become a Pro subscriber to access Common Core questions

Unlimited premium printables Unlimited online testing Unlimited custom tests

Learn More About Benefits and Options