Question

for what value of p is the polynomial 2x3-7x2-x+p exactly divisible by (2x+3)?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

p = 21

Step-by-step explanation:

2x3 – 7x2 – x + p is divisible by 2x+3 i.e it is a factor of 2x3 – 7x2 – x + p.

2x+3=0, 2x=-3, x=-3/2

P(x)= 2(-3/2^3) -7(-3/2^2) - (-3/2) + p = 0

2 x -27/8 + 7 x 9/4 + 3/2 + p = 0

-54/8 - 63/4 + 3/2 + p = 0

-54 - 126 + 12 +  p = 0

__________

           8

-54 - 114  + p = 0

_______

     8

 -168 + p = 0

_____

     8

     p = +168

           ___

             8

    p = + 21

Hope u find that helpful