Complex Numbers and Solving Polynomials Test Review

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The quadratic has 2 Imaginary Solutions.

a = 4, b = -8, c = -3

To find the solutions of a quadratic equation in the form ax² + bx + c = 0.

-2 + 6i

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

The imaginary unit 'i' is defined as the square root of -1.

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

The discriminant (b² - 4ac) determines the nature of the roots: positive means 2 real solutions, zero means 1 real solution, and negative means 2 imaginary solutions.

Use the formula r(cos θ + i sin θ), where r is the magnitude and θ is the argument.