Answer:
C. 
Step-by-step explanation:
We want to find the equation of a polynomial the following properties;
i. Leading coefficient is 1
ii. roots (7 + i) and (5 – i) with multiplicity 1
Recall the complex conjugate properties of the roots of a polynomial.
According to this property, if
is a root of a polynomial, then the complex conjugate,
is also a root.
This means that:
(7 - i) and (5 + i) with multiplicity 1 are also roots of this polynomial.
The complete set of roots are:

Therefore the polynomial is:

The correct choice is C.
Answer: 6
Step-by-step explanation:
Given Data:
Number of people = 6
Amount of Gold to be shared = 40lbs
Subtract 2/3 from your answer.
Therefore
If six people are to share 40lbs of gold evenly
= 40lbs / 6
Divide through by 2
= 20lbs / 3
= 20lbs / 3 - 2/3
= 18/3
= 6
Each person would get approximately 6lbs of gold
Answer:
Step-by-step explanation:

All the variables on the right are being multiplied together then the whole mess is being divided by 2. Let's get rid of the 2 first. The undoing of division is multiplication, so we will begin by multiplying both sides by 2 to get

Next we will move the m. The undoing of multiplication is division. So we divide both sides by m to get

The undoing of a square is to take the square root, so we will do that to both sides giving us, finally
Answer:
98
Step-by-step explanation:
for a 4 sided polygon you can only draw one diagonal from one vertex so it forms 2 triangles.
For 5 sides you get 3 triangles
For 6 sides - 4
For 7 sides - 5
For 8 sides - 6
Looks like we get 2 less triangles than the number of sides in the polygon
Answer for 100 sides is 98 triangles.