Adv Alg_CW_Final Exam Review_PART 1

Front

What is the solution to the equation 3x² + 28 = 1?

Back

x = ±3i

Front

What are the factors of the polynomial f(x) = x³ - 6x² - 4x + 24?

Back

(x + 2), (x - 2), (x - 6)

Front

How do you find the sum of the complex numbers 8 - 3i and 9 + 5i?

Back

Add the real parts and the imaginary parts: (8 + 9) + (-3i + 5i) = 17 + 2i

Front

What is the complete factorization of 5x² - 80?

Back

5(x - 4)(x + 4)

Front

What is the product of the complex number (2 + 5i) and its conjugate (2 - 5i)?

Back

29

Front

Define 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 the square root of -1.

Front

What is the conjugate of a complex number a + bi?

Back

The conjugate is a - bi.

Front

How do you multiply two complex numbers?

Back

Use the distributive property (FOIL) and combine like terms.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.