Answer:
The equation representing the value of <em>n</em> is, 
.
Step-by-step explanation:
The formula to compute the sum of the degrees, S, of the interior angles of a polygon is:
Compute the equation of <em>n</em> as follows:
Thus, the equation representing the value of <em>n</em> is, .
Answer:
(3n - 8)(2n + 5)
Step-by-step explanation:
6n² - n - 40
Consider the factors of the product of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term
product = 6 × - 40 = - 240 and sum = - 1
The factors are - 16 and + 15
Use these factors to split the n- term
6n² - 16n + 15n - 40 ( factor the first/second and third/fourth terms )
2n(3n - 8) + 5(3n - 8) ← factor out (3n - 8) from each term
(3n - 8)(2n + 5)
Then
6n² - n - 40 = (3n - 8)(2n + 5)
- 67
substitute the given values for x and y into the expression and evaluate
= - 6(2)³ - (4)² - 3 = ( - 6 × 8 ) - 16 - 3 = - 48 - 16 - 3 = - 67
