Unit 5 & 6 Quadratics & Complex Numbers

Front

What is the modulus of a complex number?

Back

The modulus of a complex number z = a + bi is given by |z| = √(a² + b²).

Front

Find the modulus of the complex number z = 6 + 4i.

Back

|z| = 2√13.

Front

What is the vertex of a parabola given the focus and directrix?

Back

The vertex is the midpoint between the focus and the directrix.

Front

If the focus of a parabola is at (5, 5) and the directrix is y = 1, what is the vertex?

Back

(5, 3).

Front

How do you simplify a complex number?

Back

Combine the real parts and the imaginary parts separately.

Front

Simplify: (10 + 15i) - (48 - 30i).

Back

-38 + 45i.

Front

What is a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial.

Front

Which value makes the expression x² + bx + c a perfect square trinomial?

Back

The value of c must be (b/2)².

Front

Factor the expression 3x² + 18x + 15 completely.

Back

3(x + 5)(x + 1).

Front

What is the first step in factoring a polynomial?

Back

Identify and factor out the greatest common factor (GCF).