Answer to Question #56454 in Algebra for Oliver Swanick

Question

6: How many solutions over the complex number system does this polynomial have?
2x^4 – 3x^3 – 24x^2 + 13x + 12 = 0

Enter your answer as an integer.
Answer: _____

7: The value 4 is an upper bound for the zeros of the function shown below.
f(x) = 4x^3 – 12x^2 – x + 15
A: True
B: False

8: The value 0 is a lower bound for the zeros of the function shown below.
f(x) = -3x^3 + 20x^2 – 36x + 16

A: True
B: False


9: Express the polynomial as a product of linear factors.
f(x) = 2x^3 + 4x^2 – 2x – 4

A: (x-4)(x+1)(x-1)
B: (x-2)(x-2)(x-1)
C: 2(x+2)(x+1)(x-1)
D: (x-2)(x+1)(x-1)

10: What is the sum of the roots of the polynomial shown below?
f(x) = x^3 + 2x^2 – 11x – 12
Answer: ______