Applying Properties of Operations on Complex Numbers to Solve Problems

Find the polynomial equation with given zeros.

• x³-x²+4x+4

• x³+x²+4x+4

• x³-x²-4x+4

• x³+x²+4x-4

• 17

Answer explanation

If 2i is a root, then

• 2i repeats twice

• -2i is also root

• 1-2i is also a root

• 0+2i is also a root

Write in factored form using the following roots.

• (x-7)(x-2i)

• (x-7)(x+2i)(x-2i)

• (x-7)(x+2i)

• (x-7)(x+7)(x-2i)

(2i) + (1 -2i)

• 1

• 2 - 3i

• -1

• 3 - 2i

(1 -i) + (-1 + i)

• 2 - 3i

• 3 - 2i

• 2 + 3i

• 0

Find the sum.
(5-2i) + (-7+8i)

• -2+6i

• 12+6i

• -35-16i²

• -35 -16i

(3 + 2i) + (3 + i)

• 3i + 6

• -3i + 6

• -3i -6

• 3i -6

i⁷⁹

• i

• 1

• -1

• -i