Complex Numbers and Systems of Equations Quiz
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Questions and Answers

Which expression is equivalent to $(4 + 7i)(3 + 4i)$?

  • $-16 + 37i$ (correct)
  • $12 - 28i$
  • $37 + 16i$
  • $16 - 37i$

Considering the type of equations in the system, what is the maximum possible number of solutions?

  • 4
  • 1
  • 3
  • 2 (correct)

The quotient of $(x^4 - 3x^2 + 4x - 3)$ divided by $(x^2 + x - 3)$ results in a polynomial. What is this quotient?

  • $x^6 + x^5 - 6x^4 + x^3 + 10x^2 - 15x + 9$ (correct)
  • $x^4 - 2x^2 + 5x - 6$
  • $x^2 - x + 1$
  • $x^4 - 4x^2 + 3x$

What is the solution to the equation $\frac{1}{x} = \frac{x + 3}{2x^2}$?

<p>$x = 3$ (B)</p> Signup and view all the answers

What is the remainder when $(x^3 + 1)$ is divided by $(x^2 - x + 1)$?

<p>$x$ (A)</p> Signup and view all the answers

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