Question

help plzzzzzzz........​

Answer 1

Answer:

a = 4

Step-by-step explanation:

using remainder theorem

p(2) will be remainder when p(x) is divided by (x-2)

p(x) = ax3 - 3x2 + 4

p(2) = a"2^3 - 3*2^2 +4 = p (given)

8a - 12 +4 = p

8a -8 = p......(1)

similarly

q(x) = zx3 - 5x + a

q(2) = 2*2^3 -5*2 + a = q (given)

16-10+a =q

a+6 = q......(2)

again, given that

p-2q = 4

putting the values of p and q from (1) and (2)

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

8a - 8 -2a -12 = 4

6a - 20 = 4

6a = 4+20

6a = 24

a = 4