Algebra 2 Unit 4B Review OL

Front

What is the product of two complex numbers (8 - 4i) and (2 - 6i)?

Back

The product is -8 - 56i.

Front

Simplify the radical \( \sqrt{-117} \).

Back

The simplified form is 3i\( \sqrt{13} \).

Front

Solve the quadratic equation by factoring: \( x^2 = 81 \).

Back

The solutions are x = 9 and x = -9.

Front

What two numbers have a product of 12 and a sum of -8?

Back

The numbers are -6 and -2.

Front

Solve by factoring: 4x^2 + 2x = 12.

Back

The factored form is 2(2x - 3)(x + 2).

Front

What is the definition of a complex number?

Back

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.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as \( i = \sqrt{-1} \).

Front

How do you multiply two complex numbers?

Back

To multiply complex numbers, use the distributive property (FOIL) and combine like terms.

Front

What is the quadratic formula?

Back

The quadratic formula is \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) for the equation ax^2 + bx + c = 0.

Front

What is the process of factoring a quadratic equation?

Back

Factoring a quadratic involves expressing it as a product of two binomials.