Quadratics and Complex Numbers Review

Front

What is the product of (5 - 3i) and (5 + 3i)?

Back

34

Front

What is the Vertex Form of the quadratic equation represented by the graph and table?

Back

y = (x+2)² - 1

Front

Using the Pythagorean Theorem, find the length of the hypotenuse if a = 6 and b = 8.

Back

10

Front

What is the product of 6i and 5i?

Back

-30

Front

Simplify the expression (2x³ - 5x² + 3x - 10) - (x³ - 7x + 4).

Back

x³ - 5x² + 10x - 14

Front

Define a quadratic function.

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What is the standard form of a quadratic equation?

Back

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

Front

What is the discriminant of a quadratic equation and what does it indicate?

Back

The discriminant is b² - 4ac; it indicates the nature of the roots (real and distinct, real and equal, or complex).

Front

What is the formula for finding the vertex of a parabola in standard form?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h).

Front

What are complex numbers?

Back

Complex numbers are numbers that have a real part and an imaginary part, expressed as a + bi.