Which number could replace x to make a true statement 2/3 x/8 7/8

Step-by-step explanation:

Remainder when p (x) is divided by (x+2) is - 29

Step-by-step explanation:

p (x) = x^{3} - 2x^{2} + 8x + kx3-2x2+8x+k

When p (x) is divided by (x-2), remainder is 19.

p (x - 2 = 0) gives the remainder when p (x) is divided by (x-2)

x - 2 = 0

x = 2

p (x-2=0) = p (2) = 2^{3} - 2 (2^{2}) + 8 (2) + k23-2 (22) + 8 (2) + k = 19

8 - 8 + 16 + k = 19

k = 3

p (x) = x^{3} - 2x^{2} + 8x + 3x3-2x2+8x+3

p (x + 2 = 0) gives the remainder when p (x) is divided by (x+2)

x + 2 = 0

x = - 2

p (x+2=0) = p (-2) = (-2) ^{3} - 2 ((-2) ^{2}) + 8 (-2) + 3 (-2) 3-2 ((-2) 2) + 8 (-2) + 3

p (-2) = - 8 - 8 - 16 + 3 = - 29

Remainder when p (x) is divided by (x+2) is - 29