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:
The length of the ramp is 7.3 meters.
Step-by-step explanation:
The length of a triangle's side must be less than the sum of its two other sides. It also cannot have the same value as its other combined sides.
7 + 2 > 7.3
2 + 7.3 > 7
7 + 7.3 > 2
<em>r</em> is also longer than 7 meters, so that leaves option b. as your answer.
Answer:
tht looks so difficult
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The 3 is in the tens place representing the number 30.
~theLocoCoco
