Question

#1. Which is equal to z3 8? A. (z - 2)(z^2 - 2z - 4). B. (z + 2)(z^2 - 2z + 4) C.(z - 2)(z^2+ 2z + 4). D. (z + 2)(z^2+ 2z - 4) #2. Which is equal to x2 + 2x + xy + 2y? A. (x + y)(x - 2) B. (x - y)(x - 2) C. (x - y)(x + 2) D. (x + y)(x + 2) #3. Which is equal to x2 + 2x + xy + 2y? A. (x + y)(x 2) B. (x y)(x 2) C. (x y)(x + 2) D.(x + y)(x + 2) #4. Which is equal to x^3 - 2x^2 - 49x + 98? A. (x - 7)(x + 7)(x + 2) B.(x + 7)(x - 2) C.(x2 + 49)(x - 2) D. (x - 7)(x + 7)(x - 2) #5. What is the solution set to the equation (x 4)(x + 3) = 0? A. {3, -4} B.{-3, -4} C. {-3, 4} D. {3, 4} #6. What is the solution set to the equation a2 - 25 = 0? A. {-5, 5} B. {-5, -5} C. {0, -5} D. {0, 5}

Answer 1

#1. B
(z * z^2 + z * 2z + z * 4) – (-2 *z^2 – (-2) 2z – (-2) 4)
Z^3 + 2z^2 + 4z – 2z^2 -4z – 8
Z^3 + 2z^2 – 2z^2 + 4z – 4z – 8
Z^3 - 8

#2 and #3. D
(x + y)(x + 2)
x^2 + 2x + yx + 2y

#4. D.
(x - 7)(x + 7)(x- 2)
x^2 + 7x – 7x -49
x^2 + x – 49
x^2 -49
(x^2 – 49 ) (x – 2)
x^3 – 2x^2 – 49x + 98

#5. C
(y - 4) = 0
y = 4
(x + 3)= 0
x = -3

#6. A and B