Nelson Adv Alg_CW_Final Exam Review_PART 1

Front

What is the sum of the complex numbers 8 - 3i and 9 + 5i?

Back

17 + 2i

Front

If the factors of f(x) are (x + 2), (x - 2), and (x - 6), what is the corresponding function?

Back

f(x) = x^3 - 6x^2 - 4x + 24

Front

In the equation y = 125 * 3^t, what is the estimated total followers when t = 5/2?

Back

1, 949

Front

What are the solutions to the equation 3x^2 + 28 = 1?

Back

x = ±3i

Front

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

Back

The conjugate is a - bi.

Front

How do you add two complex numbers?

Back

Add the real parts and the imaginary parts separately.

Front

What is the formula for multiplying two complex numbers (a + bi)(c + di)?

Back

(ac - bd) + (ad + bc)i.

Front

What is the quadratic formula used to find the roots of a quadratic equation ax^2 + bx + c = 0?

Back

x = (-b ± √(b^2 - 4ac)) / (2a).