Answer: D) 32
Each side of the cube is 8 units, so the perimeter of one side is 4*8 = 32.
Part 1: If the roots of a polynomial are a, b, and c, then the factors can be written in the form (x - a), (x - b), and (x - c). In this case, we have (x - 3), (x - [3 + i]), and (x - [3 - i]). The three factors are (x - 3)(x - 3 - i)(x - 3 + i).
Part 2: The two factors with complex terms are (x - 3 - i)(x - 3 + i), and multiplying these terms as a difference of two squares can give:
(x - 3)^2 - i^2 = x^2 - 6x + 9 - (-1) = x^2 - 6x + 10
Part 3: We now multiply (x^2 - 6x + 10) by the remaining factor of (x - 3). This results in the cubic expression:
(x^2 - 6x + 10)(x - 3)
= x^3 - 3x^2 - 6x^2 + 18x + 10x - 30
= x^3 - 9x^2 + 28x - 30
Answer:
52
Step-by-step explanation:
Alex earned 156 reward points for selling wrapping paper rolls.
Using the given equation
3r = 156
r = 156/3
r = 52
Alex sold 52 wrapping paper rolls
The answer is C) NO solution.
5 - 15n = -5(3n - 2)
5 - 15n = -15n + 10
5 = 10
Since 5 = 10, its false so no solution.
