Write a simplified polynomial expression in standard form to represent the area of the rectangle below. a picture of a rectangle is shown with one side labeled as 5 x plus 2 and another side labeled as x minus 4. a. 5x2 + 18x − 2 b. 5x2 + 13x + 2 c. 5x2 − 18x − 8 d. 5x2 + 13x + 8

The correct option is C.

Step-by-step explanation:

Given information: One side of the rectangle is (5x+2) and another sides of rectangle is (x-4).

The area of rectangle is

Substitute length = (5x+2) and width = (x-4) in the above formula, to find the simplified polynomial expression in standard form to represent the area of the rectangle.

Using distributive property,

On simplification we get

On combining like terms we get

Therefore the correct option is C.

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.

answer: no, but if it does it's a obvious pattern.

step-by-step explanation: