Polynomials and Complex Numbers

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

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

• 7i
• -7i+1
• 1-7i
• 1+7i

What is the total number of roots for the following equation?
ax⁵+ bx⁴+ cx³+ dx²+ ex+ f = y

• This equation has 2 roots.
• This equation has 4 roots.
• This equation has 5 roots.
• This equation has no roots.

Which of these is a possible root of the polynomials?
x³ - 6x² - x + 30

• 0
• 4
• -9
• -15

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

Write a polynomial with roots at 2 and 3-2i in standard form.

• x³ - 7x² + 25x - 21

• x³ - 8x² + 25x - 26

• - 8x² - 26

• x² + 6ix - 4i

What is the degree of the polynomial:
f(x) = -4x + 5x³ - 2x²

• Degree 2
• Degree 3
• Degree 4
• Degree 5

Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Find the polynomial equation with given zeros.

• x³-x²+4x+4

• x³+x²+4x+4

• x³-x²-4x+4

• x³+x²+4x-4

What does i² equal to?

• 1
• -1
• i
• -i