(6×30)×3 is the answer to this equation please reward brainlest
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
The absolute value of -12 is positive 12 because absolute bars turn all negatives into a positive
Answer:
L = 8
Step-by-step explanation:
The volume of a rectangular prism is found by V = L*h*w. Substitute V = 120, w = 5 and h =3 then solve for the length.
120 = L*3*5
120 = 15L
8 = L
Answer: THe last one.
Step-by-step explanation:
This question is, in essence, basically asking which numbers are less than -3. Looking at the numbers, it is clearly the last set.