Question

PLEASE ANSWER QUICKLY AND CORRECTLY!!! WILL GIVE BRAINLIEST!!!!
The area of a rectangle is represented by the function x3 + 11x2 + 3x − 135. The width of the rectangle is x − 3. Find the expression representing the length of the rectangle.
A. x^2 − x − 30
B. x^2 + 14x + 45
C. x^2 + 11x + 30
D. x^2 − 4x − 45

Answer 1

Answer:

B. x^2 + 14x + 45.

Step-by-step explanation:

Length = area / width so we do a

Long division:

x - 3) x3 + 11x2 + 3x − 135(x^2 + 14x + 45 <------ Quotient.

        x3 - 3x2

               14x^2 + 3x

               14x^2 - 42x

                            45x - 135

                            45x - 135.

                            .................

Answer 2

Considering that the area of a rectangle is the width * lenght:

Area = width*lenght

Lenght = area/width

Lenght = (x3 + 11x2 + 3x − 135) / (x-3)

L = (x-3)*(x+5)*(x+9) / (x-3)

L = (x+5)*(x+9)

L = x2 + 9x + 5x + 45

L = x2 + 14x + 45

Answer B is the correct answer :)