Question

The polynomial ax2 -3x2 +4 and 2x3 – 5x +a, when divided by (x-2), leaves the remainder p and q respectively if p-2q=4. Find the value of a.

Answer 1

Step-by-step explanation:

x = 2

p = a(4) - 3(4) + 4 =4a - 8

q = 2(8) - 5(2) + a = a + 6

p - 2q = 4

4a - 8 - 2(a+6) = 4

4a - 8 - 2a - 12 = 4

2a - 20 = 4

a = 24/2 = 12