What is the quotient (3x2 + 4x − 15) ÷ (x + 3)?

a) 3x + 5
b) 3x − 5
c) 3x + 1
d) 3x − 1, r = 1

The correct answer is option B. 3x - 5

Step-by-step explanation:

The given polynomial is 3

x² + 4x - 15

To find the quotient of polynomial division

(x² + 4x - 15)/(x - 3)

                         3x - 5                          

     x-3    | 3x² + 4x - 15

                3x² + 9x        

                       -5x  -15

                      -5x - 15

                             0

Therefore the quotient is 3x - 5

The correct answer is option B). 3x -5

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)