AI HL Real Polynomials

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1. A real polynomial with a cubic as its highest power could have:

1 point

1 real solution only

3 complex solutions

3 real solutions

2 real and 1 complex solutions

1 real and 2 complex solutions

2. A real polynomial with a quadratic as its highest power could have:

1 point

1 repeated complex solution

2 complex solutions

1 real and 1 complex solutions

2 real solutions

1 repeated real solution

3. A real polynomial with x^4 as its highest power could have:

1 point

4 real solutions

2 real solutions and 2 complex solutions

1 repeated complex solution, 1 repeated real solution

3 real solutions and 1 complex solution

1 repeated real solution, 2 complex solutions

4 complex solutions

1 real and 3 complex solutions

4. Find all the solutions to the equation shown below.

1 point

x=2+3i

x=-2+3i

x=-3

x=2

x=2-3i

x=3

x=-2

x=-2-3i

5. Find all the solutions to the equation shown below.

1 point

x=17

x=6-7i

x=6+7i

x=-5

x=-6-7i

Option 7

x=-6+7i

6. Find all the solutions to the equation shown below.

1 point

x=2

x=1+3i

x=-1-3i

x=-2

x=1-3i

x=-1+3i

7. Find all the solutions to the equation shown below.

1 point

x=2

x=1-i

x=1+i

x=3

x=-3

x=-1

x=1

x=-2

8. Find all the solutions to the equation shown below.

1 point

x=2-2i

x=2+2i

x=-3

x=-2

x=-4

x=-1

x=3

x=4

9. Find all the solutions to the equation shown below.

1 point

x=2+3i

x=1

x=6

x=2-3i

x=-2+3i

x=-6

x=-2-3i

x=-1

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