11. Find the product of each expression A. (-7+4i) B. (6-9i) (8+5i) 12. Simplify

Question

11. Find the product of each expression A. (-7+4i) B. (6-9i) (8+5i) 12. Simplify the following by using the Imaginary Number i A. -42 B. V-75 A. 20x 80i B. x+49i 14. 2x2-3r+4 0 15. 4x5x+20 13. Factor the following expressions using Complex Numbers. Find all solutions using the Quadratic Formula. 16. Find the quotient of the following expressions. A. 10+6 3-4i 8 +i 17. Find the absolute value of: 11-18i 18. Name the property of numbers illustrated by each equation. A. 32y+0=32y B. Sa( 2a -9)10a-45a C. 4k + 6m = 6m + 4k 19. Identify the following real numbers. B. 1, 0.36, 4, v9,. C. 0, 5, 10, 15,. D. 15, 22/7, T, 20. Write an algebraic expression to model each statement. A. The cost c of a $800 i-phone and a monthly payment of $60. B. The number of $0.75 games that can be played with $40.

Explanation / Answer

11. (-7+4i)2 =49 -56i+8i2=49-56i-8=41-59i

(6-9i)(8+5i) = 48 +30i-72i -45i2 = 48+45 -42i=93-42i

12.sqrt(-42) =i sqrt42

sqrt(-75)=5i sqrt 3

13. 20x2+80i=20(x2+4i) =20(x-2i)(x+2i)

x2+49i=(x-7i)(x+7i)

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