Using factor theorem factories 2x3-x2-13x-6

p(2)=2(2)^3+(2)^-13(2)+6=16+4-26+6=0

(x-2) 2x^2+5x-3

x-2√2x^3+x^2-13x+6

2x^3-4x^2

5x^2-13x 5x^2

-3x+6-3x+6

2x^3+x^2-13x+6=(x-2) (2x^2+5x-3)

(x-2) (2x^2+6x-x-3)

(x-2) [2x(x+3)-1(x+3)]

(x-3) (x+3) (2x-2)

A. Constant of proportionality : Yes

B. Origin : No.

C. Inverse : No.

D. Rise per run : Yes

E. Unit rate : Yes.

Step-by-step explanation:

We have to choose yes or no to tell whether each item in the given options is equivalent to the slope in a proportional relationship.

A. Constant of proportionality: Yes

B. Origin: No.

C. Inverse: No.

D. Rise per run: Yes

E. Unit rate: Yes.  

The constant of proportionality, the rise per run and the unit rate are equivalent to slope in a proportional relationship. (Answer)