I) 156 degrees
The exterior angle is 180-156
=24
The number of sides=

The number of sides= 15 sides
ii) 162 degrees
The exterior angle= 180-162
=18
The number of sides=

= 20 sides

Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:
| 2 -7 8 -3
<u>1 | 2 -5 3</u>
| 2 -5 3 0
<u> 1 | 2 -3 </u>
2 -3 0
So the factorization is (x-1)² (2x-3)=0. So:


Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:
| 1 -1 0 -4
<u>2 | 2 2 </u>
1 2 2 0
So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.


Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:
| 6 7 9 2
<u>-2 | -12 10 -2</u>
6 -5 1 0
So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:


Answer: -3.3%
By not knowing how i did it, means you will still not know how to do it next time you encounter a similar problem.
Knowing how to solve a problem is just as important or even more important than just knowing the solution.
<span>3 - (4x - 5) + 6 multiply -1 across 4x-5 to clear the preceding negative
3 - 4x + 5 + 6 combine like terms
-4x + 14</span>