Which of the following best describes a regular polygon when the sum of its interior angles is 1080 degrees a.) octagon b.) heptagon c.) hexagon d.) nonagon

Option A is correct.

Step-by-step explanation:

Given: Sum of all the interior angles of a regular polygon = 1080°

To find: number of sides or name of polygon.

We know that Sum of all interior angle of a regular polygon is given by following formula,

Sum of all angles = ( n - 2 ) × 180° ,    where n = no of sides.

⇒ 1080° = ( n - 2 ) × 180°

n - 2 = 6

n = 6 + 2

n = 8

Name of regular polygon is Regular Octagon.

Therefore, Option A is correct.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.