Question

answer the question ​

Answer 1

Answer:

p = -4 , q = 4

Step-by-step explanation:

Let Polynomial :

p(x) = x^3 + px^2 + qx + 6

Now by applying remainder theorem :

p(3) = 3

27 + 9p + 3q = 3

9 + 3p + q = 1

3p + q = -8 .....(1)

Also, p(2) = 0

8 + 4p + 2q = 0

4+2p+q = 0

2p+q = -4 .....(2)

(1) - (2)

p = -4

q = -4-2p = -4 - 2*(-4)

= -4 +8 = 4