Answer:
Step-by-step explanation:
The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.
<u>The polynomial is:</u>
- (x - 3)(x - (4 + i))(x - (4 + i)) =
- (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) =
- (x - 3)(x² - 8x + 16 - (-1)) =
- (x - 3)(x² - 8x + 17) =
- x³ - 8x² + 17x - 3x² + 24x - 51 =
- x³ - 11x² + 41x - 51
Answer:
The diagram reprents the 3 sets and the universal set . The shaded portion clearly can be seen as :

Shaded region = 
Try to understand some what complex
4 and 1 over 2 times 2 and 3 over 2
Answer:
720, 5040
Step-by-step explanation:
It's always times plus 1. So,
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
120 x 6 = 720
720 x 7 = 5040