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 answer to the problem is h=7
Suppose m∠1 = x degree
m∠2 = 17 x degree
As angle 1 & 2 are supplementary angles so
m∠1 +m∠2 =180 degree...... eq 1
Substituting the values of angle 1 & 2 in eq 1, we get
x +17x =180
18x=180
x= 180/18 =10 degree
17 x= 170 degree
m∠1 = 10 degree m∠2 = 170 degree.
1. 2r-5
2. -21r-50
3. 4r-50
4. 14r+50
5. 19r-50