The length of a rectangle is represented by the polynomial 2x^3-5x^2+8 and the width is represented by the polynomial x+3. Complete the following statements about the polynomial that represents the area of the rectangle

Area = 2x^4  + x^3 - 15x^2 + 8x + 24

Step-by-step explanation:

A = (x + 3)(2x^3 - 5x^2 + 8)

A = 2x^4 - 5x^3 + 8x + 6x^3 - 15x^2 +24

combine like terms:

Area = 2x^4  + x^3 - 15x^2 + 8x + 24

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.