Question

When the polynomial (x³ + 8x² + 17x + ax) is
divided by (x+2) and (x+1), the remainder
comes out to be the same. Find the value of a.

Answer 1

Answer:

see the image for your answer

Answer 2

Answer:

a= 0

Step-by-step explanation:

when p(x) = -2

-2^3 + 8*-2^2 +17*-2+a*-2

= -8 +32-34-2a

= -10-2a ---------------------------- 1

when p(x) = -1

-1^3 +8*-1^2+17*-1+a*-1

= -1+8-17-a

= -10 -a -------------------------------2

from 1 and 2

-10 -2a = -10-a

-2a+a = -10 +10  ( By transposing)

-a = 0

a = 0

hope this answer helps you